Question

3
2x - 3y = -12
x + y = 9

Explanation:

Step1: Solve the second equation for x

From \( x + y = 9 \), we can express \( x \) as \( x = 9 - y \).

Step2: Substitute x into the first equation

Substitute \( x = 9 - y \) into \( 2x - 3y = -12 \):

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Step3: Solve for y

Subtract 18 from both sides:

$$ -5y = -12 - 18\\ -5y = -30 $$

Divide both sides by -5:

$$ y = \frac{-30}{-5} = 6 $$

Step4: Solve for x

Substitute \( y = 6 \) into \( x = 9 - y \):

$$ x = 9 - 6 = 3 $$

Answer:

\( x = 3 \), \( y = 6 \)