Solve the systems of equations 6x+3y=9 2x+3y=1

Answers

Answer 1
Solve by elimination.
The goal is to cancel out one of the variables in order to easily solve for the other variable.

Do this by changing the equations so that the coefficients of either x or y add up to 0.

Notice the coefficients of y are 3 and 3, if we make one of them negative then they add up to 0. 3+ (-3) = 0

Multiply 2nd equation by -1.

6x +3y = 9
-2x -3y = -1
__________
4x +0y = 8

Solve for x
4x = 8
x = 8/4 = 2

Plug x=2 back into one of original equations to find y.
---> 2(2) + 3y = 1
---> 4 + 3y = 1
---> 3y = -3
---> y = -1

Therefore solution is (2,-1)
Answer 2
Final answer:

To solve the given system of linear equations, subtract one equation from the other to eliminate the y-variable, then solve for x and substitute back to find y. The solution is x = 2, y = -1.

Explanation:

To solve the system of equations 6x + 3y = 9 and 2x + 3y = 1, we can use the subtraction method. We want to find the values of x and y that satisfy both equations simultaneously. Observing that both equations have the term 3y, we can subtract the second equation from the first to eliminate the y-terms:

Subtract the second equation from the first: (6x + 3y) - (2x + 3y) = 9 - 1.Simplify the subtraction: 4x = 8.Divide both sides by 4 to solve for x: x = 2.Substitute x back into one of the original equations to solve for y: 2(2) + 3y = 1.Solve for y: 4 + 3y = 1 --> 3y = -3 --> y = -1.

The solution to the system of equations is x = 2, y = -1.


Related Questions

Simplify √240

a.) 2√60
b.)10√24
c.)6√40
d.)4√15

Answers

i would like to say for this question answer is c i hope it help  

Answer: the correct answer is D.


Step-by-step explanation:


It costs $15 for a yearly membership to a movie club at a movie theater. A movie ticket costs $5 for club members and $8 for nonmembers.

Answers

Final answer:

The total cost of a movie ticket for club members is $20 ($15 membership fee + $5 ticket price) and for non-members it is $8.

Explanation:

To find the total cost of a movie ticket for club members and non-members, we need to consider the membership fee and the ticket price. Let's break it down:

For club members:

Membership fee: $15 per yearTicket price: $5

For non-members:

Ticket price: $8

To calculate the total cost for club members, we add the membership fee to the ticket price: $15 + $5 = $20.

To find the total cost for non-members, we simply use the ticket price: $8.

Final Answer:

The system of equations representing the total cost for a club member (y) and a nonmember (y) after viewing x movies is given by:

y = 15 + 5x

y = 8x

Explanation:

Let's break down the system of equations. For a club member, the total cost (y) is the sum of the membership fee ($15) and the product of the ticket price $5 and the number of movies viewed (x). This relationship is represented by the equation y = 15 + 5x.

On the other hand, for a nonmember, the total cost (y) is solely the product of the ticket price for nonmembers $8 and the number of movies viewed (x), as there is no membership fee. This is expressed by the equation y = 8x.

To find the number of movies (x) after which the total cost (y) for a club member equals the cost for a nonmember, we set the two equations equal to each other:

15 + 5x = 8x

Now, solving for x, we can determine the point at which the total cost for a club member is the same as the cost for a nonmember. This helps in understanding the break-even point where joining the movie club becomes financially advantageous, factoring in the membership fee and the reduced ticket price for club members.

The complete question of the above answer is:

Certainly, here is the complete question:

It costs $15 for a yearly membership to a movie club at a movie theater. A movie ticket costs $5 for club members and $8 for nonmembers.

a. Write a system of equations that you can use to find the number x of movies viewed after which the total cost y for a club member, including the membership fee, is the same as the cost for a nonmember.

Which statement is true about the result of a rigid transformation?

The image will be larger than the pre-image.

The pre-image will be larger than the image.

The pre-image will be congruent to the image.

Each one is unique; no general statement can be made about size.

Answers

As a rigid transformation is a geometrical term for the pre-image and the image both having the exact same size and shape, then your option is C. The pre-image will be congruent to the image. Hope this works for you

Answer:

C The pre-image will be congruent to the image.

Step-by-step explanation:

Solve by factoring.

g^2+4g-32=0

Answers

First, factor:

g² + 4g - 32 = 0
(g +8) (g-4) = 0 
                 g = -8, 4

Hope this helps!

Answer: The solution is g = 4, -8.

Step-by-step explanation: We are given to solve the following algebraic equation.

[tex]g^2+4g-32=0.[/tex]

Since the above algebraic equation is quadratic, so it will have two solutions.

The solution by the method of factorization is as follows:

[tex]g^2+4g-32=0\\\\\Rightarrow g^2+8g-4g-32=0\\\\\Rightarrow g(g+8)-4(g+8)=0\\\\\Rightarrow (g-4)(g+8)=0\\\\\Rightarrow g-4=0,~~~g+8=0\\\\\Rightarrow g=4, -8.[/tex]

Thus, the required solution is  g = 4, -8.

Tell whether the sequence is arithmetic. If it is, what is the common difference?
A. -6,2,10,18, ...
B. 1,2,4,8, ...

Answers

The answer to your question is C


 
arithmetic is a repeated pattern so i think it is totally b

What is the value of x in the equation 1/5x – 2/3y = 30, when y = 15?

Answers

x=200
2/3 of 15 is 10 make that negative add it to the other side 1/5x = 40 and then multiply 40 by 5 to get your answer
Check 
1/5 of 200 is 40 - 10 = 30
40-10=30
30=30

What is 490% written as a decimal? 4.9 0.0049 49 490

Answers

In decimal form, it would be: 490% = 4.90

So, option A is correct answer.

Hope it helped.

Answer:

the answer is A

Step-by-step explanation:

Solve sin2x + 2sinx = 0 for 0 ≤ x < 2π. ...?

Answers

sin 2 x + 2 sin x = 0
2 sin x cos x + 2 sin x = 0 / : 2
sin x cos x + sin x = 0
sin x ( cos x + 1 ) = 0
sin x = 0,  cos x + 1 = 0,  cos x = - 1;
Answer:
x = 0,  or x = π

A wooden beam 24 feet long leans against a wall and makes an angle of 71° with the ground. How high up the wall does the beam reach to the nearest foot?

Answers

20 is the right answer because it loses 2 feet in the angle and goes two ffet back cause the angle 


The beam reaches approximately 23 feet up the wall.

Given that, a wooden beam is 24 feet in length and makes an angle of 71° with the ground.

We need to determine how high does it touches the wall,

To find the height up the wall reached by the wooden beam, we can use trigonometry.

Let's denote the height as "h".

In a right triangle formed by the wooden beam, the height "h" represents the opposite side, and the length of the beam (24 feet) represents the hypotenuse.

The angle between the ground and the beam is given as 71°.

We can use the sine function to solve for "h" since sine is defined as the ratio of the opposite side to the hypotenuse in a right triangle.

sin(71°) = h / 24

To find "h," we rearrange the equation:

h = sin(71°) × 24

Calculating this, we get:

h ≈ 0.9511 × 24 ≈ 22.8264

Rounding to the nearest foot, the beam reaches approximately 23 feet up the wall.

Learn more about trigonometry click;

https://brainly.com/question/11016599

#SPJ2

What is the exact value that is 47% of 2302??

Answers

it would be 1081.94.

hope this helps you

Tanya is raising money to go on a field trip. She is selling stickers for $1 and rubber bracelets for $3. The cost of the field trip is $36. Write an equation to show how many stickers and bracelets she must sell to raise the money for the field trip

Answers

10 braclets and 6 stickers
Well the equation would probably look something like this: 3b + 1s = 36. (B would stand for bracelets & s would stand for stickers.) I hope I helped & I'm sorry if I'm wrong!

How do i find the quotient of rational expressions???

Answers

First, turn it into a multiplication problem by multiplying by the reciprocal of the divisor. Then, you can cancel common factors in the numerator and denominator to make things easier to work with. Finally, multiply to get your final answer!

Round each number to the nearest hundredth. What is the best estimate for the sum of 12.547 + 83.919?

Answers

The sum is 97 because of 12.547 rounded to 13, and 83.919 rounded to 84. The final sum would be 97 or 100 if you round...I think O.o
the answer is 96.466.

A computer can sort x objects in t seconds, as modeled by the function below:

t=0.005x^2+0.002x

How long, in seconds, will it take the computer to sort 10 objects?

Round your answer to the nearest hundredth of a second. ...?

Answers

The answer is 0.52 s

The function is t = 0.005x² + 0.002x

x = 10

Substitute x into the function:
t = 0.005 * 10² + 0.002 * 10
t = 0.005 * 100 + 0.02
t = 0.5 + 0.02
t = 0.52 s

To determine the time it takes for the computer to sort 10 objects, substitute x with 10 in the given function, resulting in 0.52 seconds, rounded to the nearest hundredth.

The student's question involves determining how long it takes a computer to sort 10 objects, given the function t = 0.005x² + 0.002x, where x is the number of objects and t is the time in seconds. To find out the time it takes to sort 10 objects, we substitute x with 10 into the function.

So, we have:

t = 0.005(10)² + 0.002(10)

t = 0.005(100) + 0.002(10)

t = 0.50 + 0.02

t = 0.52 seconds

Therefore, it takes the computer approximately 0.52 seconds to sort 10 objects, when the result is rounded to the nearest hundredth of a second.

What are the sine, cosine, and tangent of Θ = 3 pi over 4 radians?

sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = -1

sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = 1

sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = 1

sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = -1

Answers

the unique answer is A
sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = -1

(just put the Θ in the trigonometry circle)

air is being pumped into a spherical balloon at a rate of 100 cm^3/sec. How fast is the diameter increasing when the radius is 5 cm?

Answers

Final answer:

The diameter is increasing at a rate of approximately 100 / 300π cm/s when the radius is 5 cm.

Explanation:

To find the rate at which the diameter is increasing, we need to differentiate the formula for the volume of a sphere with respect to time:

V = (4/3)πr^3

Where V is the volume and r is the radius.

Let's differentiate V with respect to t:

dV/dt = (4/3)π(3r^2)(dr/dt)

We know dV/dt = 100 cm^3/s and r = 5 cm, so plug in these values:

100 = (4/3)π(3(5^2))(dr/dt)

Simplifying the equation gives us:

dr/dt = 100 / (4π(3(5^2)))

dr/dt ≈ 100 / 300π

So, the diameter is increasing at a rate of approximately 100 / 300π cm/s when the radius is 5 cm.

HELP! Which two-dimensional shape can be rotated about the y-axis to create a cone?

Answers

it's a circle or a diamond

Answer:

Its a triangle

Which graph represents the solution set for the inequality 16 ≥ -3x + 4 > -17?

Answers

It is either graph 2 or3

The cost of producing x units of a product is C dollars, where C is given by the function C = 0.25x2 - 80x + 300. What is the cost if no units are produced?
A)
$0
B)
$100
C)
$200
D)
$300 ...?

Answers

Answer:

D)  $ 300

Step-by-step explanation:

Here, the cost ( in dollars ) of x products is defined by the function,

[tex]C=0.25x^2-80x+300[/tex]

Since, if the no units are produced,

x = 0,

Hence, the cost would be,

[tex]C=0.25(0)^2-80\times 0+300[/tex]

[tex]=0-0+300[/tex]

[tex]=\$ 300[/tex]

Option D is correct.

The cost is $300 if no units are produced.

To find the cost when no units are produced, which are shown by x and we need to evaluate the cost function C at x = 0. The cost function is given by [tex]C = 0.25x^2 - 80x + 300.[/tex]

Let's substitute x = 0 into the function:

[tex]C(0) = 0.25(0)^2 - 80(0) + 300[/tex]

[tex]C(0) = 0 - 0 + 300[/tex]

[tex]C(0) = 300[/tex]

Therefore, the cost when no units are produced is $300.

This corresponds to the constant term in the cost function, which represents the fixed costs that are incurred regardless of the number of units produced.

how do you Write 432,000 in scientific notation
...?

Answers

4.32*10^5

To write scientific number must be greater than one but less than 10

Use compensation to find product for 195x5

Answers

The product for 195x5 is 975

height of a table tennis net: 6 in. height of a tennis net: 3ft

Answers

the table is 3.5 ft tall

How can i find the factors of 12 and 15,explain?

Answers

you can use prime factorization

The factors of 12 are 1, 2, 3, 4, 6, and 12, while the factors of 15 are 1, 3, 5, and 15.

To find the factors of 12 and 15, you need to identify the numbers that can evenly divide these two numbers without leaving a remainder. Here's how you can find the factors:

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 15: 1, 3, 5, 15.

To date, Jay Ward has cumulative earnings of $107,600. This week he is paid $3,000. What is the total amount of Social Security tax for this week? Assume a rate of 6.2% on $110,100 for Social Security and 1.45% for Medicare. A. $186.00 B. $155.00 C. $57.66 D. $180.00

Answers

 The 'cap' on earnings that can be taxed for Social Security is $ 97,500 

The person has already been taxed on $ 95,000 of earnings. 

So on this paycheck, only ($ 97,500 - $ 95,000) = $ 2,500 of his earnings are taxable for Social Security. 

($ 2,500 x 0.062) = $ 155.00

Answer:

Option B. $155

Step-by-step explanation:

Jay Ward has already been taxed on his earning on $107,600.

So on this paycheck only  ($110,100 - $107,600) = $2,500 of his earnings are taxable for social security tax.

Social security tax rate = 6.2%

Hence, social security tax amount = 6.2% × 2500

                                                         = 0.062 × 2500

                                                         = $155

Option B. $155 is the answer.

43/14 as a decimal rounded to the nearest hundredth

Answers

The answer would be 3.07.

I simply divide 43 and 14 and got 3.07143 and then since u said nearest hundredth I just went from left to right and skipped 2 decimals and cut it and kept 3.07.

Hope this helps.

Answer:

The decimal of the fraction rounded to the nearest hundredth is

[tex]\frac{43}{14}=3.07[/tex]  

Step-by-step explanation:

Given : Expression [tex]\frac{43}{14}[/tex]  

To find : What is the decimal of the fraction rounded to the nearest hundredth?

Solution :

Step 1 - Write the fraction

[tex]\frac{43}{14}[/tex]  

Step 2 - Divide the numerator by denominator,

[tex]\frac{43}{14}=3.071[/tex]  

Step 3 - Convert to the nearest hundredth,

[tex]3.071\approx 3.07[/tex]

Therefore, The decimal of the fraction rounded to the nearest hundredth is

[tex]\frac{43}{14}=3.07[/tex]  

What is the volume of a cylinder with a radius of 1.5 inches and a height of 19 inches? use 3.14 for pi. round your answer to the nearest hundredth. 28.5 cubic inches 100.25 cubic inches 134.24 cubic inches 156.73 cubic inches

Answers

V = (pi) * r^2 * h
V = 3.14 * 1.5^2 * 19
V = 3.14(2.25)(19)
V = 134.235 rounded = 134.24 cubic inches

134.235 cube inches is the volume of a cylinder with a radius of 1.5 inches and a height of 19 inches.

What is volume?Volume is simply defined as the space occupied by any three-dimensional solid. These solids can be a cube, cuboid, cone, cylinder or sphere.The volume of a solid is measured in cubic units. For example, if the dimensions are given in meters, the volume is in cubic meters. It is a standard unit of volume in the International System of Units (SI). Similarly, other units of volume are cubic centimetres, cubic feet, cubic meters, etc.The formula to calculate the volume of a solid in  three-dimensional space is to find the product of the dimensions. Basically,  volume is equal to the product of the surface area and the height of the shape.

Volume = base area x height

Radius of cylinder (r) = 1.5 inches

Height of cylinder (h) = 19 inches

Value of π = 3.14

To Find :

The volume of a cylinder.

Explanation :

Let, volume of a cylinder be "R".

We know that,

Volume of a cylinder = πr²h

[ Put the values ]

↪ R = 3.14 × (1.5)² × 19

↪ R = 3.14 × 2.25 × 19

↪ R = 7.065 × 19

↪ R = 134.235 cube inches

Therefore,

The volume of a cylinder is 134.235 cube inches.

To learn more about volume, refer;

brainly.com/question/1578538

#SPJ2

write this 15 is 12 less than 2 times a number.

Answers

2x-12=15 is the equation.

Write an equation ;
you have cable plan that costs $39 a month for a basic plan plus one movie channel . Your friend has the same basic plan plan plus two movies channels for $45.50 . What is the basic plan change that you both pay ?

Answers

your cable plan is x+y=39 and your friends is x+2y=45.5 (or at least that's how I would write it) and you're solving for x

find an expression for the width of a rectangle who's length is represented by x-2 and whos's width is represented by 2x^3-8x^2+2x+12

Answers

Final answer:

The expression for the width of a rectangle when the width is given by the algebraic expression 2x3 - 8x2 + 2x + 12.is already stated in its complete form.

Explanation:

The student is asking about finding an expression for the width of a rectangle with given algebraic expressions for length and width. Since the student has provided the expressions for both length and width, we do not need to perform any calculations or manipulations to answer the question directly. The length of the rectangle is given as x-2, and the width of the rectangle is given by the expression 2x3 - 8x2 + 2x + 12. There are no further instructions to simplify or modify, so the expression for the width as provided is complete.

Explain how using equivalent ratios is like adding fractions with unlike denominators?

Answers

Final answer:

Using equivalent ratios is like adding fractions with unlike denominators as it involves finding a common value to work with.

Explanation:

Using equivalent ratios is similar to adding fractions with unlike denominators because both involve finding a common value to work with. When adding fractions, we look for a common denominator so that we can add the numerators. With equivalent ratios, we find a common multiplier to scale the ratios, which allows us to compare or combine the quantities represented by the ratios.

Here's a step-by-step process:

Convert the given ratios to fractions by writing them as a fraction with the given quantities as the numerator and denominator.

Find a common denominator for the fractions. This involves identifying the least common multiple (LCM) of the denominators.

Multiply the numerators and denominators of the fractions by the appropriate multiples to get equivalent fractions with the same denominator.

Compare or combine the quantities represented by the equivalent fractions.

Other Questions
jacob has exactly 84 cents in his pocket.he only has dimes and quartere. how many pennies does he have if he has 3 dimes Which country was the first in the world to launch a mass media campaign in response to population growth?A)India B)China C)KenyaD)Australia which even number is not a composite number2, 8, 4, 6 A 14.01 g sample of N2 reacts with 3.02 g of H2 to form ammonia (NH3). If ammonia is the only product, what mass of ammonia is formed? Who will get the most benefit from a folic acid supplement Fine grains of beach sand are assumed to bespheres of radius 38.9 m. These grains aremade of silicon dioxide which has a density of2600 kg/m3.What is the mass of each grain of sand?Answer in units of kg. ...? A teacher makes the following statement.Gasoline boils at a relatively low temperature (about 150C). The kerosene is removed at around 200C, followed by diesel oil at 300C and fuel oil at around 370C.What topic is the teacher most likely talking about?a. distillation of a mixture b. filtration of a pure substancec.evaporation of a mixtured. sorting of a pure substance An amicus curiae brief is __________.a prior judicial decision that serves as a rule for settling subsequent cases of a similar nature a legal document filed by interested parties to a case prior to a hearing or trial in order to influence the court's decision a law passed by Congress that deals with the court systema bureaucratic regulation that deals with the court system The lengths of the sides of a triangle are 3x, 5x 12, and x + 20. Find the value of x so that the triangle is isosceles. ...? What is the relative maximum and minimum of the function?f(x)=x^3+6x^2-36The relative maximum is at (6, 216) and the relative minimum is at (2, 40).The relative maximum is at (6, 40) and the relative minimum is at (2, 216).The relative maximum is at (6, 216) and the relative minimum is at (2, 40).The relative maximum is at (6, 40) and the relative minimum is at (2, 216). A fast food restaurant sells between 164 and 328 hamburgers per day. If the company profits $82.00 per 82 hamburgers sold, approximately how much does the company profit in one year from hamburgers?PLZZZZZZ HELPPPP !!!!!!!!!! A pound of beans costs $4.70. Mrs. Patel buys 6.5 pounds of beans. How much dose she pay for the beans ? Which quotation provides that contradicts the answer to part a? What is the best way to emphasize a point when giving a speech? simplify this expression 1x/18x Which of these groups would have been LEAST likely to be a major ethnic group in Latin America?A)AfricanB)AmerindianC)ArabD)European Find The Distance Between (6,1) and (-2,-4) Help!!!What is the meaning of the word dissection in this sentence?As she did an experiment, the researcher did a dissection on a small animal to see its organs.A. in a certain wayB. a cutting apartC. put togetherD. a look inside Students in Mr. Kleins chemistry class are conducting an experiment to calculate the specific heat of a copper sample. Mr. Klein requires each lab team to repeat the experiment until their percent error is 2% or less. Percent error is calculated using observed values (those students calculate from their lab results) and the true value (the accepted value based on reference). The formula for percent error is: (observed true) x 100 true If the accepted value for the specific heat of copper is 0.385 J/gC, which of the following lab teams have an unresolved problem on their handsa.team 1: calculates 0.392 J/gCb.team 2: calculates 0.395 J/gCc.both teamsd.neither team Are the conspirators justified in killing Caesar in "Julius Caesar" written by William Shakespeare? Steam Workshop Downloader