Question

Find the solution of the system of equations.

Answer 1

Answer:

x=-2

y=-3

Step-by-step explanation:

2x=-4y-16 subtract 4y and move to the other side of the equation

x=-2y-8 divide by 2 to isolate x

-2(-2y-8)+2y=-2 plug x into the second equation

4y+16+2y=-2 distribute

6y=-18 combine the Y's and subtract 16 to the other side

y=-3 divide both sides by 6

2x+4(-3)=-16 plug the y value into the first equation to find x

2x-12=-16 distribute (multiply)

2x=-4 add 12 to both sides

x=-2 divide by 2 to get the x value

Answer 2

Answer:

x=-2 and y=-3

Step-by-step explanation:

2x+4y=-16

-2(-2x+2y=-2)

2x+4y=-16

4x-4y=4

6x=-12

x=-2

2x+4y=-16

2(-2)+4y=-16

-4+4y=-16

+4        +4

4y=-12

y=-3