Question

-3x - 4y = 11; y = 2x

Explanation:

Step1: Substitute \( y = 2x \) into \( -3x - 4y = 11 \)

Substitute \( y \) in the first equation with \( 2x \), we get \( -3x - 4(2x) = 11 \).

Step2: Simplify the equation

Calculate \( -4(2x) = -8x \), so the equation becomes \( -3x - 8x = 11 \). Combine like terms: \( -11x = 11 \).

Step3: Solve for \( x \)

Divide both sides by \( -11 \): \( x = \frac{11}{-11} = -1 \).

Step4: Solve for \( y \)

Substitute \( x = -1 \) into \( y = 2x \), we get \( y = 2\times(-1) = -2 \).

Answer:

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