Question

1. y = 11 - 3x -2x + y = 1

Explanation:

Step1: Substitute \( y = 11 - 3x \) into \( -2x + y = 1 \)

Substitute the expression for \( y \) from the first equation into the second equation. So we get \( -2x + (11 - 3x) = 1 \).

Step2: Simplify and solve for \( x \)

Simplify the left - hand side of the equation: \( -2x+11 - 3x=1 \), combine like terms: \( -5x + 11=1 \). Subtract 11 from both sides: \( -5x=1 - 11=-10 \). Divide both sides by - 5: \( x=\frac{-10}{-5} = 2 \).

Step3: Substitute \( x = 2 \) into \( y = 11-3x \)

Substitute \( x = 2 \) into the first equation \( y=11 - 3x \), we have \( y=11-3\times2=11 - 6 = 5 \).

Answer:

The solution of the system of equations is \( x = 2,y = 5 \)