Solve system of equations using substitution x=7y and 3x+2y=23

Answers

Answer 1
x=7y

3x+2y=23            plug 7y into this equation's x

3(7y)+2y=23        multiply 3 and 7

21y + 2y=23        add 21y and 2y together

23y=23                divide both sides by 23

y=1                   then plug y into one of the given equations, either one it doesn't                         matter but I would use x=7y cause it's easier
x=7(1)

x=7

so, x=7 and y=1

Answer 2
Since you know x = 7y
Then you basically plug in 7y in the second equation in place of x
So then you get 3(7y)+2y=23
And 3 x 7y = 21y
So now your equation is 21y + 2y = 23
And 21y + 2y = 23y
So now your equation is 23y = 23
Then divide both sides by 23 to get y alone
And you should get y = 1

Now that you know y=1
So plug 1 in place of y in either of the equation
I chose the first one since it is easier
So when you plug in 1,
Your equation is now x = 7(1)
And 7 x 1 = 7
So x = 7


So the solution is ( 7, 1 )

Related Questions

Brian irons 2/9 of his shirt in 3 3/5 minutes. At this rate, how much of his shirt does he iron each minute?

Answers

You have to divide both sides by 3 3/5
Or multiply by 5/18, the inverse of 3 3/5.

It should get you 5/81 of his shirt per minute
Final answer:

Brian irons 1/16 of his shirt per minute.

Explanation:

The question is about determining the rate at which Brian irons his shirts per minute. Given the fact that Brian irons 2/9 of his shirt in 3 3/5 minutes, we first convert 3 3/5 into an improper fraction, giving us 18/5 minutes. Dividing the fraction of the shirt he irons, 2/9, by the time it takes, 18/5, we get the fraction of the shirt Brian irons per minute.

To find this, we multiply 2/9 by the reciprocal of 18/5, which is 5/18, resulting in (2/9)*(5/18) = 10/162 shirts per minute. Simplifying this fraction, we find Brian irons approximately 0.062 shirts or about 1/16 of his shirt per minute.

This is an example of using rates and fractions in a real-world context to solve problems. Understanding how to manipulate and simplify fractions is crucial for solving these real-world math problems.

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The table shows revenue R (in millions of dollars) of a company when it spends A (in millions of dollars) in advertising.

a. Write a linear function that relates the revenue to the advertising cost.
b. What is the revenue of the company when it spends $10 million on advertising?

(Table is attached below)

Answers

advertising is x and revenue is y

(0,2)(2,6)
slope = (6 - 2) / (2 - 0) = 4/2 = 2

y = mx + b
slope(m) = 2
(0,2)...x = 0 and y = 2
now we sub and find b, the y int
2 = 2(0) + b
2 = b

so ur equation is : y = 2x + 2

spends 10 mill on advertising.....so x = 10
y = 2x + 2
y = 2(10) + 2
y = 20 + 2
y = 22.....so the revenue (y) of the company is 22 (million)

What is the value of a? 0.0482 − (−0.0091)= a

Answers

I hope this helps you



0,0482+0,0091=a


a=0,0573
0.0573=a
Help this help! :)

which is a true statement about 7 and 14

Answers

7 is a multiple of 14. 7 can divide 14 perfectly without any remainder

7 is a multiple of 14. This is because 14 divided by 7 equals a whole answer with no remainders.



What is 30,000 written in scientific notation?

A.
3.0 × 10–5

B.
3.0 × 10–4

C.
3.0 × 104

D.
3.0 × 105

Answers

answer is C.
3.0 × 10^4

hope it helps

10^4= 10,000 then 10,000×3= 30,000 so C.)

a line contains the points (4,2) and (0,-1). what is the equation of the line. a) y=2x -6
b)y= 3/4x -1
c) y= 1/4x + 1
d) y= 4/3x - 10/3

Answers

To do this, we should calculate the gradient first
m=y2-y1 overx2-x1
m=-1-2 over 0-4
m=-3 over -4
m=3 over 4

formula of a straight is y-y1=m(x-x1)
y-2=3/4x-3
y=3/4x-1

so the answer is b)
Final answer:

The equation of the line passing through the points (4,2) and (0,-1) is y = -3/4x + 5.

Explanation:

To find the equation of a line passing through two points, we need to find the slope and the y-intercept.

The formula for finding the slope is: m = (y2 - y1) / (x2 - x1)

Using the points (4, 2) and (0, -1):

x1 = 4, y1 = 2x2 = 0, y2 = -1

Substituting these values into the formula, we get: m = (-1 - 2) / (0 - 4) = 3 / -4 = -3/4

The slope of the line is -3/4.

Next, we can use the slope-intercept form of the equation of a line, which is: y = mx + b

Using one point and the slope, we can solve for the y-intercept, b.

x = 4, y = 2, m = -3/4

Substituting these values into the slope-intercept form, we get: 2 = (-3/4)(4) + b

Simplifying this equation, we find: 2 = -3 + b

Adding 3 to both sides, we get: b = 5

Therefore, the equation of the line is: y = -3/4x + 5

Gerain is practicing his free throws at basketball practice he attempts 20 free throws and makes 13 baskets what percent of his attempts were baskets

Answers

The answer would be 65%
Because if you have 20 free throws correct that would be 100%, so you times it by 5. So 5 x 13 baskets would give you 65%

find all the partial products. then add to find the final product draw area model as needed. 32
×23.

Answers

736 maybe... good luck

2 fourth common denominator

Answers

I don't get the question
So you are trying to find the fourth common denominator of 2. So think of the multiples of 2 (2,4,6,8,10) in this place, it is called least common multiple. But if it is put into fraction form, it is 1/2, 1/4, 1/6, 1/8, 1/10. But least common denominator and least common multiple are the same thing. So the least common denominator is 8.

Each afternoon, at least 40 people buy coffee from a coffee shop. Write an inequality that represents this situation. Let x represent the number of people who buy coffee in an afternoon.

Answers

X>_40! It would be greater than or equal

The inequality representation of the number of people who buy coffee in an afternoon x ≥ 40.

What is inequality?

An inequality compares "two values, showing if one value less than another or greater than other or simply not equal to another value".

According to question,

Each afternoon, at least 40 people buy coffee from a coffee shop.

Let 'x' represent the number of people who buy coffee in an afternoon.

In order to show inequality representation using above information.

x ≥ 40.

Hence, the inequality representation of the number of people who buy coffee in an afternoon x ≥ 40.

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what's does y equal to x=3-3y

Answers

Solve for y by simplifying both sides of the equation, then isolating the variable.
y = 1 - x/3
Beginning with x=3-3y and solving for y, the first step would be to move the constant 3 to the opposite side of the equation by subtracting it from both sides, which leaves x-3 = -3y.

Now divide both sides by the coefficient of y, which is -3 to get (x-3)/-3 = y

This could be rewritten as -(1/3)*(x-3) = y or -x/3 + 1 = y

John is building a rectangular puppy kennel up against his house using 31 feet of fencing. The side against the house does not need a fence and the side parallel to his house needs to be 15 feet long. Write an equation that models the situation and solve for the length of one of the shorter sides that extend out from the house.

Answers

Answer:

Each of the shorter sides extended out from the house is 8 feet long.

Explanation:

So John, needs to make a 3 sided fence. He has 31 feet of fencing to do this with and the single side parallel to the house is 15 feet.

We can write the equation for this problem as:

31=2s+15

Where 31 is the total amount of fencing John has to use, 15 is the one side where the length is given, s is the length of each of the other two sides and because there are two sides we multiply s by 2

Solving this equation gives:

31−15=2s+15−15

16=2s+0

16=2s

162=2s2

8=s

How would I solve the following: 328=(5-6x)

Answers

the value of "x" is-6


(open picture for work)

miguel puts photos in an album. the album has 5 right hand and 5 left hand pages. each right hand page holds 4 photos. each left hand pages holds 3 photos. how many photos will fit in the






















album?




Answers

35 5x4=20 5x3=15 20+15=35

A color called "passion purple" is made by mixing 5oz of red paint with 9 oz of blue paint. What percent of passion purple is blue paint? (Round to the nearest percent)

Answers

The answer to this is 64%.
Final answer:

Approximately 64% of the passion purple is blue paint, calculated by dividing the amount of blue paint by the total amount of paint and multiplying by 100%.

Explanation:

To determine what percent of passion purple is blue paint, we calculate the ratio of the amount of blue paint to the total amount of paint used to make the color. We have 9 oz of blue paint and a total of 5 oz red paint plus 9 oz blue paint, which equals 14 oz of paint in total. The percentage of blue paint is therefore (9 oz blue paint / 14 oz total paint) × 100%.

Calculating this, we get:

(9 oz / 14 oz) × 100% = 0.642857 × 100% ≈ 64.29%

After rounding to the nearest percent, approximately 64% of the passion purple paint is blue paint.

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How do work 3x-2y=3 and 5x-5y=10

Answers

those equations are in standard form. to graph them you need to put it in y=mx+b form, also known as slope intercept form. if they are a system of equations and u have to fins where they intersect then put it in slope intercept form and see the point where they meet. if they are separate and u only need to graph each of them again, they need to be in slope intercept form. 3x-2y=3 is y=3/2x+3 and 5x-5y=10 is y=x+3 if you put it in slope intercept form.

how many times can 15 go into 21 BTW DIVIDING

Answers

Once because 15x2=30
Once because 15\21= 1.4, 15x2=30

what is 42.4% as a fraction in simplest form and as a decimal

Answers

53/125 is the simplest form for this question.


Hope you vote me as the brainliest for this question!

PLZ help with 6th math homework!

Answers

I'm not doing your math homework, this is to help you learn and pass your test :) I will however show you a trick. ask your self this... "What can i factor out of 4x that i can also factor out of 8, which this would be 4. Now what you do if you divide everything by 4

4x/4 = x
8/4 = 2

so 4(x+2) is 4x+8 fully factored, NOW to check, use the distributive property, Multiply 4 back into x+2
4*x = 4x
4*2 = 8
so 4(x+2) = 4x+8

Haley drove 328 miles in 4 hours. At this rate, how far could she drive for 10 hours?

Unit rate ___________ miles per hour

Miles in 10 hour__________

Answers

328 ÷ 4 = 82 mph. (unit rate)

82 x 10 = 820. 

Haley can drive 820 miles in 10 hours, and drove 82 miles per hour.

hopefully this helps



@gamerbrehyt2 What is the solution set of -9x ≤ 27?

x ≤ -3
x ≥ -3
x ≤ 3
x ≥ 3

Answers

Answer:

X_>-3

Hope this helps!!!!

a _____is a know size or amount that helps you understand another size or amount

Answers

I think the answer would be Benchmark. I'm not 100% sure though. Hope this helps! ^_^

Understanding size through known quantities in mathematics and utilizing conversion factors for unit conversions.

Size is a known size or amount that helps understand another size or amount. It is a visual variable conducive for quantitative attributes in various fields, such as mathematics and science.

In mathematics, known quantities can be used to determine unknown quantities through approximations and comparisons, such as estimating lengths or measurements based on familiar values.

Conversion factors are numbers that relate different units of measure for the same quantity, enabling easy conversions between units.

3) The City of Oz has to repaint its cylinder-shaped water tower. Only the top and sides need to be painted. If the water tower has a height of 60 feet and a radius of 20 feet, how many square feet must be painted? A) 400π ft2 Eliminate B) 2400π ft2 C) 2800π ft2 D) 4400π ft2

Answers

Answer:

The answer is C 2800 ft2.

Step-by-step explanation:

I just took a quiz and that was the answer. I honestly don't know why.

Final answer:

To find the area to be painted on the cylinder-shaped water tower, we sum the areas of the top and sides. The water tower has a height of 60 feet and a radius of 20 feet, resulting in a total area of 2800π ft^2 to paint.

Explanation:

The City of Oz needs to repaint its cylinder-shaped water tower. To calculate the total surface area to be painted, which consists of the top (a circle) and the sides (a rectangle wrapped around), we use the formulas for the area of a circle and the lateral surface area of a cylinder:

Area of the top (circle) = πr²

Lateral surface area (sides) = 2πrh

The water tower has a height of 60 feet and a radius of 20 feet.

Area to paint = Area of the top + Lateral surface area = π(20 ft)² + 2π(20 ft)(60 ft) = 400π ft² + 2400π ft² = 2800π ft².

Therefore, the correct answer is C) 2800π ft².

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?

Answers

Answer:

a0 - 0

a1 - 300

a2 - 900

a3 - 65

a4 - 340

a5 - 900

a6 - 650

a7 - 700

a8 - 900

Step-by-step explanation:

there you go

Based on the amount that both Salesmen A and B earn per sale, the number of sales they both had was 12 sales.

How many sales did Salesmen A and B have?

Salesman A gets $65 per sale and Saleman B gets $300 and $40 per sale.

Assuming the number of sales to take them both to the same amount is x, the relevant formulas would be:

65x = 300 + 40x

Solving gives:

65x - 40x = 300

25x = 300

x = 300 / 25

= 12 sales

The amount that both of them earned is:

= 65 x 12

= $780

= 300 + 40 x 12

= $780

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What is 983.491 rounded to the nearest whole number?

Answers

Hi, 983.391 rounded to the nearest whole number is 983 because 0.491 is less than 0.5
983 because for .4 cannot round 3 to a bigger number if it were .5 then it would've been 984


5x88x9x7x3x9x10x31x47=

Answers

1.09047708 E10 i guess
5 * 88 * 9 * 7 * 3 * 9 * 10 * 31 *47 = 
_____________________________________
10,904,770,800 .

How do you solve a/6=15/2?

Answers

15/2 = 7.5
7.5 times 6 = 45
Check work: 45/6 = 7.5

9/5 times 1/9 is what??

Answers

The answer would be 1/5
[tex] \frac{9}{5} * \frac{1}{9} =\frac{1}{5}[/tex]

At the veterinarians office, Terri learned that her dog weighed 4 times as much as her cat. Together they weighed 40lbs. How much dis the dog weigh?

Answers

p + 4p = 40

5p = 40

p= 8 lbs

8x4= ___ lbs

Answer:

32 lbs

Step-by-step explanation:

the following is an example of what property?
5=x+5
A. Multiplicative Property of Zero
B. Multiplicative Inverse Property
C. Additive Inverse Property
D. Additive Identity Property
E. Multiplicative Inverse Property
F. Commutative Property of Zero
G. Associative Property of Zero

Answers

If you solve it, you get x=0. That means you are adding zero, so you are dealing with the additive identity property.
This is known as an Addition Identity Property.

It's a rule that states that if you add zero to a number, you would get the same same number as the answer.

Example: 10 + 0 = 10

So the answer is D.
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i dont know the answer helppp with 16 A 0.18kg apple falls from a tree to the ground, 4.0 {\rm m} below. Ignore air resistance. Take ground level to be y = 0. Part A Determine the apple's kinetic energy, K, the gravitational potential energy of the system, U, and the total mechanical energy of the system, E, when the apple's height above the ground is 4.0 m. Part B Determine the apple's kinetic energy, K, the gravitational potential energy of the system, U, and the total mechanical energy of the system, E, when the apple's height above the ground is 3.0 m Part C Determine the apple's kinetic energy, K, the gravitational potential energy of the system, U, and the total mechanical energy of the system, E, when the apple's height above the ground is 2.0 m Which of the following statements is not something you should be thinking when considering changes in your auto insurance policy?a.Higher deductibles mean lower premiums but more out-of-pocket expense in the event of an accident.b.The premium you pay guarantees that you will never have to pay more than your deductible in the event of an accident.c.The more types of insurance you include in your policy, the more protected you are from financial loss in the event of an accident.d.Lower coverage limits mean lower premiums but more restrictions on the insurance company when covering. What are 2 ways of life in arabia? what steps can I use to multiply by a two- digit number with regrouping? compare Nat Turner and Fredrick Douglass What happened after Wu Zhaos death? A music practice room is used 12 hours a day. If each practice session is 3/4 hour long, how many sessions are there in a day? The president serves many different roles while in office. In a well-written essay of at least four paragraphs, identify and describe four of those roles, and provide an example of how a president might carry out, exhibit, or demonstrate each role. A number increased by negative eight is equal to fourteen. Which equation could be used to find the number?n + 8 = 14n - (-8) = 14n + (-8) = 148 - n = 14 Select all situations that could be represented by a constant rate. A) the number of cars manufactured per day at a factoryB) the speed of a toy rocket as it is launched straight into the air the number of C) rotations per minute made by a fanD) the population increase of a bacteria colony in a petri dish Why are the children, Ignorance and Want, described as being old before their time? Find f if f"(theta)=sin (theta) + cos (theta), f(0)=3, and f'(0)=4 5x+8y=24? A)y=-5/8x+3 B)y=-3/8x-5/8 C)y=3x-5/8 D)y=3/8x-5/8 Find the product.(-2x ^2) ^3 -3x If Zelda has a 300 inch roll of binding for a quilt and the quilt must be 84 inches long how wide can she make it WILL UPVOTE!Question 9 (Multiple Choice)Darius is planning his afternoon run, but it is pretty warm outside. Which of the following is a good tip to avoid heat-related illness?A) Stay in the sunB) Drink less waterC) Drink extra waterD) Wear heavy clothes Amounts of trade discounts are not fixed? True or False ...? What was one cause of the Mexican Revolution in 1910? A.the U.S. desire for more Mexican land B.the Catholic churchs desire for a national religion C.the hacienda system that took land from the poor D.the Spanish control over the national government What is the area of a rectangle with vertices (2, 3), (9, 3), (9, -2), and (2, -2) Steam Workshop Downloader