Question

-4x-2y=-12 4x+8y=-24

Answer 1

`x=6\\ \\y=-6`

Explanation:

Given the system of two equations:

`\left\{\begin{array}{l}-4x-2y=-12\\ \\4x+8y=-24\end{array}\right.`

Add these two equations (left side add to left side and right side add to right side):

`-4x-2y+4x+8y=-12+(-24)\\ \\-2y+8y=-12-24\\ \\6y=-36\\ \\y=-6`

Substitute
`y=-6` into the first equation:

`-4x-2\cdot (-6)=-12\\ \\-4x+12=-12\\ \\-4x=-12-12\\ \\-4x=-24\\ \\x=6`