Question

question 2
-4x - 2y = -12
4x + 8y = -24
options: (-6, 6), (-6, -6), (6, -6), no solution

Explanation:

Step1: Eliminate x variable

Add the two equations:
$$(-4x - 2y) + (4x + 8y) = -12 + (-24)$$
$$6y = -36$$

Step2: Solve for y

Divide both sides by 6:
$$y = \frac{-36}{6} = -6$$

Step3: Substitute y to find x

Plug $y=-6$ into $-4x - 2y = -12$:
$$-4x - 2(-6) = -12$$
$$-4x + 12 = -12$$
$$-4x = -24$$
$$x = \frac{-24}{-4} = 6$$

Answer:

(6, -6)