Question

① -6x - 8y = -28 9x + 5y = -14

Explanation:

Step1: Eliminate x, scale equations

Multiply first equation by 3: $-18x - 24y = -84$
Multiply second equation by 2: $18x + 10y = -28$

Step2: Add scaled equations

$$(-18x - 24y) + (18x + 10y) = -84 + (-28)$$
$$-14y = -112$$

Step3: Solve for y

$$y = \frac{-112}{-14} = 8$$

Step4: Substitute y into second equation

$$9x + 5(8) = -14$$
$$9x + 40 = -14$$

Step5: Solve for x

$$9x = -14 - 40 = -54$$
$$x = \frac{-54}{9} = -6$$

Answer:

$x=-6$, $y=8$