Question

find the solution to the system. you can use the interactive graph.$\begin{cases} y = x - 4 \\ y = 4x + 2 end{cases}LXB0y = square$

Explanation:

Step1: Set equations equal (substitution)

Since $y = x - 4$ and $y = 4x + 2$, set $x - 4 = 4x + 2$.

Step2: Solve for $x$

Rearrange terms: $x - 4x = 2 + 4$
$\implies -3x = 6$
$\implies x = \frac{6}{-3} = -2$

Step3: Substitute $x$ to find $y$

Use $y = x - 4$:
$y = -2 - 4 = -6$

Answer:

$x = -2$
$y = -6$