Question

1. \\(-2x - 4y = -4\\)\\(8x + 4y = -20\\)

Explanation:

Step1: Add the two equations

$$(-2x - 4y) + (8x + 4y) = -4 + (-20)$$
Simplify to solve for $x$:
$$6x = -24$$
$$x = \frac{-24}{6} = -4$$

Step2: Substitute $x=-4$ into second equation

$$8(-4) + 4y = -20$$
Simplify to solve for $y$:
$$-32 + 4y = -20$$
$$4y = -20 + 32$$
$$4y = 12$$
$$y = \frac{12}{4} = 3$$

Answer:

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