Question

1. y = -3x + 5

5x - 4y = -3

Explanation:

Step1: Substitute \( y = -3x + 5 \) into \( 5x - 4y = -3 \)

Substitute \( y \) in the second equation: \( 5x - 4(-3x + 5) = -3 \)

Step2: Simplify the equation

Expand and simplify: \( 5x + 12x - 20 = -3 \) → \( 17x - 20 = -3 \)

Step3: Solve for \( x \)

Add 20 to both sides: \( 17x = 17 \) → \( x = 1 \)

Step4: Substitute \( x = 1 \) into \( y = -3x + 5 \)

Find \( y \): \( y = -3(1) + 5 = 2 \)

Answer:

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