Question

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

$$\begin{cases} -8x + 4y = 24\\\\ -7x + 7y = 28 \\end{cases}$$

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

Explanation:

Step1: Simplify first equation

Divide by 4: $-2x + y = 6$ → $y = 2x + 6$

Step2: Simplify second equation

Divide by 7: $-x + y = 4$ → $y = x + 4$

Step3: Set equations equal

$2x + 6 = x + 4$

Step4: Solve for x

$2x - x = 4 - 6$ → $x = -2$

Step5: Substitute x to find y

$y = (-2) + 4$ → $y = 2$

Answer:

$x = -2$
$y = 2$