Question

-10x + 2y = -4
-10x - 6y = -28

Explanation:

Step1: Subtract the two equations

$$(-10x + 2y) - (-10x - 6y) = -4 - (-28)$$

Step2: Simplify to solve for y

$$-10x + 2y + 10x + 6y = 24$$
$$8y = 24$$
$$y = \frac{24}{8} = 3$$

Step3: Substitute y=3 into first equation

$$-10x + 2(3) = -4$$

Step4: Simplify to solve for x

$$-10x + 6 = -4$$
$$-10x = -4 - 6 = -10$$
$$x = \frac{-10}{-10} = 1$$

Answer:

$x=1$, $y=3$