SOLUTION: I need to know the intercepts of the 2 equations as well as where the lines would intercept. The equations are x + y = 44 3(y) + x = 44 What I do know is t

Question 330761: I need to know the intercepts of the 2 equations as well as where the lines would intercept.
The equations are x + y = 44
3(y) + x = 44
What I do know is that The 1st question says sales rep informs u that there are 2 floor plans available for a total of 44 houses. Use x for floor plan 1 and y for floor plan 2. The equation that illustrates this situation is?
I came up with x + y = 44
The next part says that the rep then states there are 3 times as many homes available with floor plan 2. The equation that illustrates this situation is? (use the same variables)
I came up with.... 3y + x = 44
Then it asks what the intercepts of equation 1 and 2 are as well as where the lines would intersect if solved by graphing.
Can u help me with this?
Thank you in advance!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The equations are
x + y = 44
3(y) + x = 44
--------
Solve the 2nd equation for "x":
x = -3y+44
---
Substitute for "x" in x + y = 44
and solve for "y":
---
-3y+y = 44
-2y = 44
y = -22
---------
Substitute into x = -3y+44 to solve for "x":
x = -3(-22)+44
---
x = 66+44 = 100
------------------
Solution: (100,-22)
=====================
Cheers,
Stan H.
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