Question

1. \\(\

$$\begin{cases}4x - 8y = -4\\\\-2x + 8y = -2\\end{cases}$$

\\)

Explanation:

Step1: Add the two equations

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

Step2: Solve for $x$

$$x = \frac{-6}{2} = -3$$

Step3: Substitute $x=-3$ into first equation

$$4(-3) - 8y = -4$$
Simplify: $-12 - 8y = -4$

Step4: Solve for $y$

$$-8y = -4 + 12$$
$$-8y = 8$$
$$y = \frac{8}{-8} = -1$$

Answer:

$x=-3$, $y=-1$