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 = \square\\) \\(y = \square\\)

Explanation:

Step1: Set equations equal

$-4x - 3 = -2x + 1$

Step2: Isolate x terms

$-4x + 2x = 1 + 3$

Step3: Simplify to solve for x

$-2x = 4$
$x = \frac{4}{-2} = -2$

Step4: Substitute x into second equation

$y = -2(-2) + 1$

Step5: Calculate y value

$y = 4 + 1 = 5$

Answer:

$x = -2$
$y = 5$