Respuesta :

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