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

Question

asked Sep 17, 2021 101k views

1 Answer

Yehnan · Answer 1 · 2021-09-21T22:30:13+0000

Answer:

$x=6\\ \\y=-6$

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:

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