# Algebra

Okay, so I am stuck on solving this using the substitution method.

The mortgage department of the company is selling two model homes that are located on the same block. The square footage, as well as the type of model, determines the cost of these homes.

e) The second home has 1000 square feet less than twice the square feet of the first home. Write an equation that illustrates this situation using x and y to denote home #1 and home #2, respectively.

Y=2x-1000

f) Together, both homes have 4,400 square feet. Write an equation that illustrates this situation using the same variables you used in part e.
X+y=4400

g) Use substitution to determine the square footage of each house. Explain how you arrived at your answer.

y=2x-1000
x+y=4400

I need to isolate y in the first part, so I subtract 2x from both sides.

y=-1000

I am confused as to what I would do after this. Thanks for your help!

1. 👍 0
2. 👎 0
3. 👁 167
1. y=2x-1000
x+y=4400

for substitution, put the first equation into the second...
x+ (2x-1000)=4400
3x=5400
x=1800 then go back and solve for y
y= 2x-1000

1. 👍 0
2. 👎 0
2. Thank you so much for your help! :)

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

1. Explain the advantages and disadvantages of both the substitution method and the elimination method for solving a system. Help please. The only reasons I can think of is because in substitution it might be more difficult cause

asked by Amanda on February 18, 2008

What advantages does the method of substitution have over graphing for solving systems of equations? Choose the correct answer below. A. Graphing cannot be used to solve dependent or inconsistent systems due to the nature of the

asked by zwgz123 on December 15, 2017
3. ### physics

This problem explores the difference between solving a circuit using the KCL/KVL method and the node method. The circuit shown below has five elements: three resistors, a current source and a voltage source. The resistance of the

asked by juanpro on July 10, 2020
4. ### Algebra

When is the substitution method a better method than graphing for solving a system of linear equations?

asked by Cassidy on January 28, 2013
5. ### Substitution Method-Plz help

Use the Substitution method to solve the system of equations. x + y = -4 x - y = 2 solve for x in the second equation. x= y+2 Put that in for x in the first equation: x+y=-4 (y+2) + y = -4 solve for y. Then, x= y+2 i don't get

asked by Svetlana on October 17, 2006
1. ### algebra

Explain the difference between solving a system of equations by the algebraic method and the graphical method. Someone also wants to know why there are different methods for solving the same problem-what would you tell him?

asked by kiMBERLY on July 12, 2010
2. ### Pre-Calc

Solve the system of equations using either the substitution method or the multiplication/addition method answer: 3x+2y=14 2x-4y=4

asked by Anonymous on September 27, 2014
3. ### algebra

"Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like the best? Why? What circumstances would cause you to use a different

asked by Anonymous on July 7, 2009
4. ### Calculus

Which of the following would be the best first step when solving the following system using the substitution method? x - y = -4 ; x + 2y = 5 a. x = -4 - y b. x = -4 + y c. 2y = 5 - x d. 2y = 5 + x

asked by Iris on November 9, 2016