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Answer: x=3, y=4
Step-by-step explanation:
We are going to use the elimination method to solve this since the x values have inverse of each other. We are going to add the 2nd equation to the 1st and we will get: y=-4 then plug y=-4 into one of the equations, then solve for x. 4(x)+5(-4)=-8, 4x-20=-8, 4x=12, x=3. So x=3, y=4
Answer: x=3, y=-4
Step-by-step explanation:
First, get either the x or the y variable by itself using one of the given equations:
-4x-4y=4
-4y=4+4x
y=-(4+4x)/4
y=-1-x
Then plug this into all the y variable in the other equation to find x:
4x+5(-1-x)=-8
4x-5-5x=-8
-1x-5=-8
-x=-3
x=3
Then plug this into ever x of one of the equations to find y:
4(3)+5y=-8
12+5y=-8
5y=-20
y=-4