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!
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
Thank you so much for your help! :)
To solve the system of equations using the substitution method, you need to substitute the value of y obtained in the first equation into the second equation.
In this case, you have y = -1000 from the equation y = 2x - 1000. Now, substitute this value of y into the second equation:
x + y = 4400
x + (-1000) = 4400
Now, simplify the equation:
x - 1000 = 4400
Next, isolate x by adding 1000 to both sides of the equation:
x - 1000 + 1000 = 4400 + 1000
x = 5400
So, the value of x is 5400.
To find the value of y, substitute the value of x back into the first equation:
y = 2x - 1000
y = 2(5400) - 1000
y = 10800 - 1000
y = 9800
Therefore, the first home has a square footage of 5400 and the second home has a square footage of 9800.