Question

1. $\begin{cases} x=4y+7 \\ 2x-6y=12 end{cases}$

Explanation:

Step1: Substitute x into second equation

Substitute $x=4y+7$ into $2x-6y=12$:
$2(4y+7)-6y=12$

Step2: Expand and simplify

$8y+14-6y=12$
$2y+14=12$

Step3: Solve for y

$2y=12-14$
$2y=-2$
$y=\frac{-2}{2}=-1$

Step4: Solve for x

Substitute $y=-1$ into $x=4y+7$:
$x=4(-1)+7=-4+7=3$

Answer:

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