Question

1. \\(-8x - 7y = 6\\)\\(8x + 2y = 4\\)

Explanation:

Step1: Add the two equations

$$(-8x - 7y) + (8x + 2y) = 6 + 4$$
Simplify to eliminate $x$:
$$-5y = 10$$

Step2: Solve for $y$

$$y = \frac{10}{-5} = -2$$

Step3: Substitute $y=-2$ into second equation

$$8x + 2(-2) = 4$$
Simplify the left side:
$$8x - 4 = 4$$

Step4: Solve for $x$

$$8x = 4 + 4 = 8$$
$$x = \frac{8}{8} = 1$$

Answer:

$x=1$, $y=-2$