Question

1. $y = 5x - 7$ $- 3x - 2y = - 12$

Explanation:

Step1: Substitute \( y = 5x - 7 \) into \( -3x - 2y = -12 \)

Substitute \( y \) in the second equation: \( -3x - 2(5x - 7) = -12 \)

Step2: Simplify the equation

Expand and simplify: \( -3x - 10x + 14 = -12 \)
Combine like terms: \( -13x + 14 = -12 \)
Subtract 14 from both sides: \( -13x = -12 - 14 \)
\( -13x = -26 \)

Step3: Solve for \( x \)

Divide both sides by -13: \( x = \frac{-26}{-13} = 2 \)

Step4: Substitute \( x = 2 \) into \( y = 5x - 7 \)

Find \( y \): \( y = 5(2) - 7 = 10 - 7 = 3 \)

Answer:

\( x = 2 \), \( y = 3 \)