Question

Elimination method for -4x-2y=-12 4x+8y=-24

Answer 1

`\underline{+\left\{\begin{array}{ccc}-4x-2y=-12\\4x+8y=-24\end{array}\right}\ \ |\text{add both sides of equations}\\.\ \ \ \ \ \ \ 6y=-36\ \ \ \ |:6\\.\ \ \ \ \ \ \ \ \ y=-6\\\\\text{substitute the value of y to the second equation}\\\\4x+8(-6)=-24\\4x-48=-24\ \ \ |+48\\4x=24\ \ \ \ |:4\\x=6`

Answer: x = 6, y = -6 → (6, -6)

Answer 2

-4x-2y=-12

4x+8y=-24

--------------------------add

6y = -36

y = -6

Substitute y = -6 into -4x-2y=-12

-4x-2(-6) = -12

-4x + 12 = -12

-4x = -24

x = 6

Answer

x = 6 and y = -6