Question

2.
y - 4x = 3
2x - 3y = 21

Explanation:

Step1: Solve the second equation for \( y \)

The second equation is \( 2y - 3y = 21 \). Combine like terms: \( (2 - 3)y = 21 \), so \( -y = 21 \). Multiply both sides by -1: \( y = -21 \).

Step2: Substitute \( y = -21 \) into the first equation

The first equation is \( y - 4x = 3 \). Substitute \( y = -21 \): \( -21 - 4x = 3 \).

Step3: Solve for \( x \)

Add 21 to both sides: \( -4x = 3 + 21 \), so \( -4x = 24 \). Divide both sides by -4: \( x = \frac{24}{-4} = -6 \).

Answer:

\( x = -6 \), \( y = -21 \)