Question

no additional details were added for this assignment. solve the system by substitution. 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 and solve for \( y \)

First, simplify \( -2(-9y) \) to get \( 18y \). So the equation becomes:
\( 18y - 7y = 44 \)
Combine like terms: \( 11y = 44 \)
Divide both sides by 11: \( y = \frac{44}{11} = 4 \)

Step3: Substitute \( y = 4 \) back into \( x = -9y \) to find \( x \)

\( x = -9(4) = -36 \)

Answer:

The solution to the system is \( x = -36 \), \( y = 4 \)