Question

y = 5x - 9\
-2x - 3y = -7

Explanation:

Step1: Substitute \( y = 5x - 9 \) into \( -2x - 3y = -7 \)

Substitute \( y \) in the second equation: \( -2x - 3(5x - 9) = -7 \)

Step2: Simplify the equation

Expand and simplify: \( -2x - 15x + 27 = -7 \)
Combine like terms: \( -17x + 27 = -7 \)
Subtract 27 from both sides: \( -17x = -7 - 27 \)
\( -17x = -34 \)

Step3: Solve for \( x \)

Divide both sides by -17: \( x = \frac{-34}{-17} = 2 \)

Step4: Substitute \( x = 2 \) into \( y = 5x - 9 \)

Find \( y \): \( y = 5(2) - 9 = 10 - 9 = 1 \)

Answer:

\( x = 2 \), \( y = 1 \)