Question

1.
$2x - 4y = -2$
$-8x + 4y = 8$

Explanation:

Step1: Add the two equations

$$(2x - 4y) + (-8x + 4y) = -2 + 8$$
$$2x - 4y -8x +4y = 6$$
$$-6x = 6$$

Step2: Solve for $x$

$$x = \frac{6}{-6} = -1$$

Step3: Substitute $x=-1$ into first equation

$$2(-1) - 4y = -2$$
$$-2 -4y = -2$$

Step4: Solve for $y$

$$-4y = -2 + 2$$
$$-4y = 0$$
$$y = \frac{0}{-4} = 0$$

Answer:

$x=-1$, $y=0$