Question

c. solve using substitution. \

$$\begin{cases} y = 2x - 8 \\\\ y = -3x + 2 \\end{cases}$$

Explanation:

Step1: Substitute y from first equation

Set $2x - 8 = -3x + 2$

Step2: Isolate x terms

$2x + 3x = 2 + 8$
$5x = 10$

Step3: Solve for x

$x = \frac{10}{5} = 2$

Step4: Substitute x into first equation

$y = 2(2) - 8$
$y = 4 - 8 = -4$

Answer:

$x=2$, $y=-4$