Question

solve the system of equations.
$8x + 5y = 24$
$y = -4x$
$x = square$
$y = square$

Explanation:

Step1: Substitute $y=-4x$ into first equation

$8x + 5(-4x) = 24$

Step2: Simplify left-hand side

$8x - 20x = 24$
$-12x = 24$

Step3: Solve for $x$

$x = \frac{24}{-12} = -2$

Step4: Solve for $y$ using $x=-2$

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

Answer:

$x=-2$
$y=8$