Question

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

$$\begin{cases} y = -4x - 3 \\\\ y = -2x + 1 \\end{cases}$$

$
$x = \boldsymbol{\square}$
$y = \boldsymbol{\square}$

Explanation:

Step1: Set equations equal

Since $y = -4x - 3$ and $y = -2x + 1$, set them equal to each other:
$-4x - 3 = -2x + 1$

Step2: Isolate x terms

Add $4x$ to both sides:
$-3 = 2x + 1$

Step3: Solve for x

Subtract 1 from both sides, then divide by 2:
$-4 = 2x$
$x = \frac{-4}{2} = -2$

Step4: Solve for y

Substitute $x=-2$ into $y=-2x+1$:
$y = -2(-2) + 1 = 4 + 1 = 5$

Answer:

$x = -2$
$y = 5$