SOLUTION: solve the system of equations. x=2y-8 4x+y=13

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: solve the system of equations. x=2y-8 4x+y=13       Log On


   

Question 741053: solve the system of equations.
x=2y-8
4x+y=13
Answer by jam123(18) About Me  (Show Source):
You can put this solution on YOUR website!
x=2y-8
so...
y=%281%2F2%29x%2B4

4x%2By=13
so...
13-y=4x
so...
4x=13-y
so...
4x=-y%2B13
so...
-y=4x-13
so...
y=-4x%2B13
Now to graph...
+graph%28+1000%2C+1000%2C+-20%2C+20%2C+-20%2C+20%2C+%281%2F2%29x%2B4%2C+-4x%2B13%29+
And we get an answer of (2, 5).
Let's check.

2=2(5)-8
2=10-8
2=2 YEP!

4(2)+5=13
8+5=13
13=13 YEP!

So the answer really is (2, 5).