Question

solve the system of equations.

• 2x + 15y = -24

2x + 9y = 24
x =

y =

Explanation:

Step1: Add the two equations

To eliminate \( x \), we add the two given equations:

$$
LATEXBLOCK0
$$

Step2: Solve for \( y \)

Divide both sides of \( 24y = 0 \) by 24:

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

Step3: Substitute \( y = 0 \) into one of the original equations (e.g., \( 2x + 9y = 24 \))

Substitute \( y = 0 \) into \( 2x + 9y = 24 \):

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

Step4: Solve for \( x \)

Divide both sides of \( 2x = 24 \) by 2:

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

Answer:

\( x = 12 \)
\( y = 0 \)