Question

solve the system of equations.
$-2x + 15y = -24$
$2x + 9y = 24$
$x = square$
$y = square$

Explanation:

Step1: Add the two equations

$$(-2x + 15y) + (2x + 9y) = -24 + 24$$
$$24y = 0$$

Step2: Solve for $y$

$$y = \frac{0}{24} = 0$$

Step3: Substitute $y=0$ into second equation

$$2x + 9(0) = 24$$
$$2x = 24$$

Step4: Solve for $x$

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

Answer:

$x = 12$
$y = 0$