Question 91723: the question is X+y = 13 & 22x+36y=356 university of phoenix elementary and intermediate algebra
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! The problem is asking you to solve the system of equations or do these two equations have a common point (x, y)?
There are several methods you can use to solve systems of equations:
1. substitution
2. elimination
3. matrix
I do not know which method you are to use, but here is the "substitution" method:
x+y=13
x=-y+13 [Solve for the x-term]
22x+3y=356 [substitute the first equation back into the second equation]
22(-y+13)+36y=356
-22y+286+36y=356 [solve for the y-term]
14y+286=356
14y=356-286
14y=70
y=5 [plug (y=5) back into either of the original equation and solve for (x)]
.
x+y=13
x+5=13
x=13-5
x=8
checking: 8+5=13 [checks out]
.
So, the common point or solution to this system of equations is:
(8, 5)
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