Question

elimination method (show your work)
-4x - 2y = -12
4x + 8y = -24
solution (\square, \square)

Explanation:

Step1: Add the two equations

$(-4x - 2y) + (4x + 8y) = -12 + (-24)$
Simplify: $6y = -36$

Step2: Solve for $y$

$y = \frac{-36}{6} = -6$

Step3: Substitute $y=-6$ into first equation

$-4x - 2(-6) = -12$
Simplify: $-4x + 12 = -12$

Step4: Solve for $x$

$-4x = -12 - 12$
$-4x = -24$
$x = \frac{-24}{-4} = 6$

Answer:

$(6, -6)$