Question

1. x + y = 3 x = 2y + 9

Explanation:

Step1: Substitute x into first equation

We have \( x = 2y + 9 \) and \( x + y = 3 \). Substitute \( x \) in the first equation with \( 2y + 9 \), so we get \( (2y + 9) + y = 3 \).

Step2: Simplify and solve for y

Combine like terms: \( 3y + 9 = 3 \). Subtract 9 from both sides: \( 3y = 3 - 9 = -6 \). Then divide by 3: \( y = \frac{-6}{3} = -2 \).

Step3: Solve for x

Substitute \( y = -2 \) into \( x = 2y + 9 \): \( x = 2(-2) + 9 = -4 + 9 = 5 \).

Answer:

\( x = 5 \), \( y = -2 \)