Question

use substitution to solve the system.
2y + 4 = x
4x - 3y = 11
x =
y =

Explanation:

Step1: Substitute \( x \) into the second equation

We know \( x = 2y + 4 \), substitute this into \( 4x - 3y = 11 \). So we get \( 4(2y + 4) - 3y = 11 \).

Step2: Simplify and solve for \( y \)

Expand the left side: \( 8y + 16 - 3y = 11 \). Combine like terms: \( 5y + 16 = 11 \). Subtract 16 from both sides: \( 5y = 11 - 16 = -5 \). Divide both sides by 5: \( y = \frac{-5}{5} = -1 \).

Step3: Substitute \( y \) back to find \( x \)

Substitute \( y = -1 \) into \( x = 2y + 4 \). So \( x = 2(-1) + 4 = -2 + 4 = 2 \).

Answer:

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