Question

solve the system of equations by substitution:
$-3x + y = 8$
$-x + y = -2$

Explanation:

Step1: Isolate $y$ in first equation

$y = 3x + 8$

Step2: Substitute $y$ into second equation

$-(x) + (3x + 8) = -2$

Step3: Simplify and solve for $x$

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

Step4: Substitute $x=-5$ into $y=3x+8$

$y = 3(-5) + 8 = -15 + 8$

Answer:

$x=-5$, $y=-7$