SOLUTION: 4x-3y = -10 5x-4y=-13 solve the system of equations, showing all work

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Question 318935: 4x-3y = -10
5x-4y=-13
solve the system of equations, showing all work
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.4x-3y+=+-10
2.5x-4y=-13
From eq. 1,
4x=-10%2B3y
x=%28-10%2B3y%29%2F4
5x=%285%2F4%29%28-10%2B3y%29
Substitute into eq. 2,
%285%2F4%29%28-10%2B3y%29-4y=-13
Multiply both sides by (4),
5%28-10%2B3y%29-16y=-52
-50%2B15y-16y=-52
-y=-2
highlight%28y=2%29
Then from above,
x=%28-10%2B3y%29%2F4
x=%28-10%2B6%29%2F4
x=-4%2F4
highlight%28x=-1%29