Question

1. \\(-2x + 2y = -14\\)\\(2x + 6y = -10\\)

Explanation:

Step1: Add the two equations

$$(-2x + 2y) + (2x + 6y) = -14 + (-10)$$
$$8y = -24$$

Step2: Solve for $y$

$$y = \frac{-24}{8} = -3$$

Step3: Substitute $y=-3$ into second equation

$$2x + 6(-3) = -10$$
$$2x - 18 = -10$$

Step4: Solve for $x$

$$2x = -10 + 18 = 8$$
$$x = \frac{8}{2} = 4$$

Answer:

$x=4$, $y=-3$