Question

2 \

$$\begin{cases} x - y = -1 \\\\ y = 4x - 8 \\end{cases}$$

Explanation:

Step1: Substitute y into first equation

Substitute $y=4x-8$ into $x-y=-1$:
$x-(4x-8)=-1$

Step2: Simplify and solve for x

Expand and combine like terms:
$x-4x+8=-1$
$-3x+8=-1$
$-3x=-1-8$
$-3x=-9$
$x=\frac{-9}{-3}=3$

Step3: Substitute x to find y

Plug $x=3$ into $y=4x-8$:
$y=4(3)-8=12-8=4$

Answer:

$x=3$, $y=4$