What is the solution of the system of equations 2x - 5y = 11 and -2x + 3y = -9?

Answers

Answer 1

Answer:

x= 3, y= -1

Step-by-step explanation:

Let's solve your system by substitution.

2x−5y=11 and −2x+3y=−9

Solve x in 2x-5y=11

2x-5y=11 (add 5y to both sides)

2x = 5y + 11 (divide 2 by both sides)

x=5/2y + 11/2

substitute 5/2y+11/2 for x in -2x+3y=-9

-2x+3y=9

-2 (5/2y+11/2)+3y=-9

-2y-11=-9 (simplify both sides)

-2y-11=-9 (add 11 to both sides)

-2y=2 (divide both sides by -2)

y=-1

substitute your y (-1) in x = 5/2y + 11/2

x = 5/2y + 11/2

x=5/2(-1)+11/2

x=3

therefore, y= -1 and x = 3


Related Questions

I NEED HELP!!!!!!!!!!!!!
The perimeter of a rectangle is 46 inches. If the width of the rectangle is 9 inches, what is the length?
A.
37 inches
B.
14 inches
C.
23 inches
D.
28 inches

Answers

9*2=18 (for the 2 width sides)
46-18=28
28 divided by 2 = 14

Answer is B. 14inches

Pls help w the whole page

Answers

Answer:

7a) 6X + 24

7b) 4X + 17

8) $142

Step-by-step explanation:

7a) you first combine the variables / letters. Then the numbers

1. 4x + 2x = 6x

2. 29 - 5 = 24

6x + 24

7b) you first combine the variables / letters. Then the numbers

1. x + 3x = 4x

2. 10 + 14 - 7 = 17

4x + 17

8) I did 12a + 8b + 6b

1. plug in your numbers into the variables / letters  12( 6 ) + 8 ( 5 ) + 6 ( 5 ) = ?

2. Then do the individual numbers 72 + 40 + 30 = ?

3. Then you can combine them all 142

Consider the data set shown below. 42, 43, 46, 47, 47, 48, 49, 50, 51, 53, 55, 55, 59 A graph shows intervals labeled 40 to 43 thru 56 to 59 on the horizontal axis and frequency on the vertical axis labeled 0 to 8. To create a histogram of the data given, identify the frequency for the given intervals. The interval 44-47 has a frequency of . The interval 48-51 has a frequency of . The interval 56-59 has a frequency of .

Answers

Answer:

3 , 4 , 1

Step-by-step explanation:

The interval 44-47 has a frequency of  3

The interval 48-51 has a frequency of  4

The interval 56-59 has a frequency of  1

got it right on edge

Answer:

The interval 44-47 has a frequency of  3

The interval 48-51 has a frequency of  4

The interval 56-59 has a frequency of  1

Step-by-step explanation:

3

4

1

Find the sum of the series

Answers

Answer:

ink

Step-by-step explanation:

none

Evaluate the following expression. You should do this problem without a calculator. log6 6

A)0
B)1
C)12
D)6

Answers

Answer:

B

Step-by-step explanation:

To what power do you have to raise 6 to get 6?

As in: 6^? = 6

6^1 = 6, so the answer is 1

hope this helps :)

PLEASE HELP I WILL BE AWARDING BRAINLIEST FOR THE FASTEST AND CORRECT ANSWER!! Pls help

Answers

Answer:

The answer is C

Explanation:

The top number represents the number of people that are in 2 or more sports

The bottom represents how many students total throughout the school

Write 18.4 as a fraction in lowest terms

Answers

Answer:

Divide each side of 18/4 by 2 to get 9/2.

Answer:

184/10

Step-by-step explanation:

You have to delete the comma (,) so, by doing ×10 you have 18,4 -> 184. By doing ÷10 you have a fraction: 184/10 that is equal to 18.4

A regular octagon has a perimeter of 48 cm. What is the length of each side?

Answers

Answer:

Each side of the octagon a length of 6 cm

Step-by-step explanation:

Divide the perimeter by the amount of sides the shape has.

48 ÷ 8 = 6

6 cm because 48 cm divided by 8 equals 6 and I got 8 from the octagon

Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope form to find the equation of each.
Linear Function A Points: (–5, –2), (–5, 7)
Linear Function B Points: (7, –5), (–2, –5)
Function A has .
The equation of line A is .
Function B has .
The equation of line B is .

Answers

here is the answers

enjoy

Given Function A with points (–5, –2), (–5, 7) and Function B with points (7, –5), (–2, –5) represent linear functions, thus:

Function A has an undefined slope: no slope

Equation for line A would be: x = -5

Function B has a slope value of: 0.

Equation for line B is: y = -5

Recall:

Slope-intercept form is for a vertical line: x = a number on the x-axisSlope-intercept form is for a horizontal line: y = a number on the y-axis

Thus:

Linear Function A with the points (–5, –2), (–5, 7):

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 -(-2)}{-5 -(-5)} \\\\[/tex]

[tex]m = \frac{9}{0}[/tex] (can't divide. Undefined)

Function A therefore has no slope (undefined).

A line with no slope is a vertical line.

The equation for function A will therefore be written as: x = -5

-5 is where the vertical line intersects the x-axis.

Linear Function B with the points (7, –5), (–2, –5):

[tex]Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-5)}{-2 - 7} \\\\[/tex]

[tex]m = \frac{0}{-9} = 0[/tex]

A slope value of 0 means the line of the linear equation is an horizontal line.

The equation for function A will be written as: y = -5

-5 is where the horizontal line intersects the y-axis.

In summary, given Function A with points (–5, –2), (–5, 7) and Function B with points (7, –5), (–2, –5) represent linear functions, thus:

Function A has an undefined slope: no slope

Equation for line A would be: x = -5

Function B has a slope value of: 0.

Equation for line B is: y = -5

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What is the constant of proportionality in the equation StartFraction x over y EndFraction = StartFraction 2 over 9 EndFraction? HELP PLZ I WILL NAME BRAINLEST

Answers

Answer:

5/4

Step-by-step explanation:

Which function BEST expresses the linear relationship displayed by the scatter plot?

A) y = 2.3x − 5.7

B) y = 2.3x + 11.4

C) y = 0.4x + 11.4 \

D) y = 0.4x + 18.6
WILL VOTE BRAINLIEST!

Answers

Answer:

C

Step-by-step explanation:

We want a line of best fit, which means we want to create a line that the data points will lie closest to.

One thing we can do is find the slope between the bottom-leftmost point and the top-rightmost point. This is because if we were to draw a line connecting these two, it will cut through the data quite well.

Those two points are (9, 15) and (16, 18), so the slope is change in y divided by the change in x:

(18 - 15) ÷ (16 - 9) = 3 ÷ 7 ≈ 0.4

Eliminate A and B.

Now we need to determine the y-intercept. This needs no calculations; simply look at the graph: there's no way a line cutting through the y-intercept point of (0, 18) will perfectly match the data points; instead it must be a y-intercept lower than 18. So, eliminate D.

The answer is C.

Answer:

C

Step-by-step explanation:

The slope of the line of best fit should be around:

(18-15)/(16-10) = 0.5

And

The y-intercept would be less than 15

Therefore, option C is the most suitable option

hi i need help with this question

Answers

Answer:

[tex]a)5 \\ \: \: \: \: \: \: 8 \\ \: \: \: \: \: 11[/tex]

[tex]b)32[/tex]

Step-by-step explanation:

[tex]a)3n + 2 \\ 3 \times 1 + 2 = 5 \\ 3 \times 2 + 2 = 8 \\ 3 \times 3 + 2 = 11[/tex]

[tex]b)3n + 2 \\ 3 \times 10 + 2 = 32[/tex]

I'd appreciate if you rate my answer and give a thanks.

A)First term is 5,
Second is 8
Third is 11

Write the equation of the line with:
Slope = 1/3 and a point on the line is (6, 8)

Answers

Answer:

1/3 times 6.8

Step-by-step explanation:

Answer:

y= 1/3x + 6

Step-by-step explanation:

Summer’s here and the ice cream truck is in town. The truck offers 3 flavors of ice cream: vanilla, chocolate, and strawberry. The topping choices are walnuts, sprinkles, and chocolate fudge and cookie crumbs. Zoe only has enough money for one scoop with one topping. How many choices does she have?

Answers

Answer:

12 choices

Step-by-step explanation:

There are 3 possible flavors Zoe can choose from: vanilla, chocolate, and strawberry.

Meanwhile, there are 4 possible toppings Zoe can choose from: walnuts, sprinkles, and chocolate fudge and cookie crumbs.

Each flavor can go with each topping, so we just multiply these two numbers together:

3 * 4 = 12

Zoe has 12 choices.

PLEASE HELP!!!!!!!!!!!

Answers

Answer:

6in²

Step-by-step explanation:

the problem says the two triangular prisms are congruent.

the first triangle's volume is 90in³ and the height of the second triangular prism is 15. we use the formula fro the volume of the shape:

V=B * h

we substitute the values we know:

90in³=B*15

90/15 = B

6in²= B

So the area of the base is 6in²

Hope this helps :)

Check all of the correct names for the object pictured below.
O
O
B. EF
O
c. FE
O
D. FE
OE. EF
O

Answers

Answer:

A. & F.

Step-by-step explanation:

Answer:

A. & F.

Step-by-step explanation:

How are percents related to rates?

Answers

Answer:

A percentage is defined as the ratio of two numbers times 100.

Answer:Example: 1 divided by 2 is 0.5 or 50%. An interest rate is expressed as a percentage or as a point. ... A percentage is defined a the ratio of 2 numbers times 100 (percent is Latin for per one hundred). Example: 1 divided by 2 is 0.5 or 50%.

Step-by-step explanation:

A sample of gas has a volume of 100.0 L at 135°C. Assuming
the pressure remains constant, what is the volume of the gas if
its temperature decreases to 72.0°C?

Answers

Answer:

84.6

Step-by-step explanation:

135c + 273.15 = 408 K

72C + 273.15 = 345 K

100 L over 408 K = V2 over 345 K

V2= 84.6

The volume of the gas when temperature decreases to 72.0 °C is 84.6 L

What is volume?

Volume is a physical quantity that measures the amount of three-dimensional space occupied by matter (solid, liquid, or gas).

Volume is defined as the three-dimensional space occupied by matter or enclosed by a surface. The SI unit of volume is the cubic meter (m³),

Given that, a sample of gas has a volume of 100.0 L at 135 °C, the pressure remains constant, we need to find that what is the volume of the gas when temperature decreases to 72.0 °C

Converting the temperature into Kelvins =,

135C + 273.15 = 408 K

72C + 273.15 = 345 K

100 L / 408 K = V2 / 345 K

V2 = 84.6

Hence, the volume of the gas when temperature decreases to 72.0 °C is 84.6 L

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What is the area of r=5

Answers

Answer:

if you need the circumferance of a circle with a radious of 5, then it should be 31.42.

Step-by-step explanation:

Answer:

25pi or 78.5 units^2

Step-by-step explanation:

A = pi r^2

A = 25pi or 78.5

What is the domain of the profit function P=6t+10s?

Answers

Answer:A

Step-by-step explanation:

The required profit function is defined for all s and t greater than or equal to zero. Option A is correct.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

The profit function P=6t+10s represents the profit made by a company based on the number of units of two products: t units of product 1 and s units of product 2.

In general, the domain of the profit function depends on the specific context of the problem, but in the problem, we have no constraints so the domain of the profit function would be all real values for s and t greater than or equal to zero.  

Thus, the required profit function is defined for all s and t greater than or equal to zero. Option A is correct.

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Please help thank you

Answers

Answer:

5,-3

Step-by-step explanation:

Answer:

5,-3 $&$&$,$,$,,$$,$,,$,$,$,$,

The 5th term in a geometric sequence is 160. The 7th term is 40. What are possible values of the 6th term of the sequence?
A) positive/negative 70
B) 70
C) positive/negative 80
D) 80

Answers

The correct answer is:

The possible value for the 6th term is 40. Thus, the answer is B) 70.

To find the common ratio (r) of the geometric sequence, divide the 7th term by the 5th term:

[tex]\[ r = \frac{40}{160} = \frac{1}{4} \][/tex]

Now, we can find the 6th term (T6) using the common ratio and the 5th term:

[tex]\[ T6 = T5 \times r = 160 \times \frac{1}{4} = 40 \][/tex]

So, the 6th term could be 40. Therefore, the answer is:

B) 70

How is the binomial 2x^2y-4xy^3 expresses in factores form

Answers

Answer:

 2xy • (x - 2y2)

Step-by-step explanation:

STEP 1

:

Equation at the end of step 1

 ((2 • (x2)) • y) -  22xy3

STEP 2

 

Equation at the end of step

 (2x2 • y) -  22xy3

STEP 3

STEP 4

:

Pulling out like terms

4.1     Pull out like factors :

  2x2y - 4xy3  =   2xy • (x - 2y2)  

Trying to factor as a Difference of Squares:

4.2      Factoring:  x - 2y2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

What is the perimeter and area of the trapezoid?

Answers

Answer:

Perimeter = sum of length of all sides = 8 + 3 + 10 + 11 = 32

Area = (base1 + base2) x height/2 = (3 + 11) x 7/2 = 49

Hope this helps!

:)

pls hurry!!!!! The table represents an exponential function.
x y
1 3/2
2 9/8
3 27/32
4 81/128



What is the multiplicative rate of change of the function?
a) 2/3
b)3/4
c)4/3
d)3/2

Answers

The answer is B: 3/4

The multiplicative rate of change of the function is (b) 3/4

How to determine the multiplicative rate of change?

The table entries are given as:

x  y

1 3/2

2 9/8

3 27/32

4 81/128

From the above table, we have:

y1 = 3/2

y2 = 9/8

Divide y2 by y1 to get the multiplicative rate of change (r)

[tex]r = 9/8 \div 3/2[/tex]

Evaluate the quotient

r = 3/4

Hence, the multiplicative rate of change of the function is (b) 3/4

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trevors baseball card collection consists of 228 cards. this is 4 times as many cards as ming has. how many baseball cards are in mings collection'

Answers

Answer:

57

Step-by-step explanation:

If Trevor has 4 times more cards then Ming and Trevor has 228 cards you would divide 228 by 4 to get the number of cards ming has.

228 divided by 4 is 57

Help with this plzzzzzz

Answers

Answer:

C. 11:16 AM

Step-by-step explanation:

Subtract 42 minutes from 58, which is 16. To find out what hour, you subtract by 3. When you do subtract, the answer is 11 AM.

Hope this helps :)

Solve for x: x/12 - 5 = 7
A.x=121 B.x = 144
C.X = 96
D.x = 84

Answers

Step-by-step explanation:

Step 1:  Add 5 to both sides

[tex]\frac{x}{12}-5+5=7+5[/tex]

[tex]\frac{x}{12}=12*12[/tex]

[tex]x=144[/tex]

Answer:  Option B, x = 144

what is the area of the figure at the right? explain how you found your answer.
ANSWER ASAP PLZ
(Ready book grade six page 253 question 1)

Answers

Answer:

30 ft

Step-by-step explanation:

Answer:

40ft.

Step-by-step explanation:

Find the inverse of the function.

y=5x-10

Answers

Answer:

The inverse of the function y = 5x - 10 would be:

5x - 10 = y

or

5x = y + 10

or

x = (1/5)y + 2

Hope this helps!

:)

Final answer:

The inverse of the function y=5x-10 is given by the formula f^-1(x) = (x + 10)/5. This is found by switching x and f(x) in the original equation, then solving for the new function.

Explanation:

The problem asked us to find the inverse of the function y=5x-10. Finding the inverse of a function involves reversing the variables and then solving for the new y variable. Here are the steps for this:

Replace y with f(x), giving us the function f(x) = 5x - 10.Switch x and f(x) to find the inverse. This gives us x = 5f-1(x) - 10.Solve for f-1(x). By adding 10 to both sides and then dividing by 5, we find that the inverse function is f-1(x) = (x + 10)/5.

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