Question

1. y = -3x - 7 -4x - 2y = 4

Explanation:

Step1: Substitute \( y = -3x - 7 \) into \( -4x - 2y = 4 \)

Substitute \( y \) in the second equation: \( -4x - 2(-3x - 7) = 4 \)

Step2: Simplify the equation

Expand the terms: \( -4x + 6x + 14 = 4 \)
Combine like terms: \( 2x + 14 = 4 \)
Subtract 14 from both sides: \( 2x = 4 - 14 \)
\( 2x = -10 \)
Divide both sides by 2: \( x = -5 \)

Step3: Find the value of \( y \)

Substitute \( x = -5 \) into \( y = -3x - 7 \): \( y = -3(-5) - 7 \)
Calculate: \( y = 15 - 7 = 8 \)

Answer:

The solution to the system of equations is \( x = -5 \), \( y = 8 \)