Question

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

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

$
$x = \square$
$y = \square$
14

Explanation:

Step1: Simplify first equation

Divide by 4:
$$-2x + y = 6$$
Rearrange to isolate $y$:
$$y = 2x + 6$$

Step2: Simplify second equation

Divide by 7:
$$-x + y = 4$$
Rearrange to isolate $y$:
$$y = x + 4$$

Step3: Set equations equal

Substitute $y$ expressions:
$$2x + 6 = x + 4$$

Step4: Solve for $x$

Subtract $x$ and 6:
$$2x - x = 4 - 6$$
$$x = -2$$

Step5: Verify $y$ value

Substitute $x=-2$ into $y=x+4$:
$$y = -2 + 4 = 2$$

Answer:

$x = -2$
$y = 2$