Question

find the solution to the system of equations.
you can use the interactive graph below to find the solution.
$\

$$\begin{cases} y = x - 4 \\\\ y = 4x + 2 \\end{cases}$$

$
$x = \square$
$y = \square$

Explanation:

Step1: Set equations equal (substitution)

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

Step2: Solve for $x$

Subtract $x$ from both sides: $-4 = 3x + 2$.
Subtract 2 from both sides: $-6 = 3x$.
Divide by 3: $x = \frac{-6}{3} = -2$.

Step3: Find $y$ using $x=-2$

Substitute $x=-2$ into $y = x - 4$:
$y = -2 - 4 = -6$.

Answer:

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