Question

1. \

$$\begin{cases} -6x + 6y = -42 \\\\ y = 8x \\end{cases}$$

Explanation:

Step1: Substitute $y=8x$ into first equation

$-6x + 6(8x) = -42$

Step2: Simplify left-hand side

$-6x + 48x = -42$
$42x = -42$

Step3: Solve for $x$

$x = \frac{-42}{42} = -1$

Step4: Find $y$ using $y=8x$

$y = 8(-1) = -8$

Answer:

$x=-1$, $y=-8$