Question

x = -9y
-2x - 7y = 44

Explanation:

Step1: Substitute \( x = -9y \) into the second equation

We have the second equation \( -2x - 7y = 44 \). Replace \( x \) with \( -9y \):
\( -2(-9y) - 7y = 44 \)

Step2: Simplify the left - hand side

First, calculate \( -2(-9y)=18y \). Then the equation becomes \( 18y - 7y = 44 \). Combine like terms: \( 11y = 44 \)

Step3: Solve for \( y \)

Divide both sides of the equation \( 11y = 44 \) by 11: \( y=\frac{44}{11}=4 \)

Step4: Solve for \( x \)

Substitute \( y = 4 \) into the first equation \( x=-9y \). Then \( x=-9\times4=-36 \)

Answer:

\( x = - 36,y = 4 \)