Question

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

Explanation:

Step1: Set equations equal

Since \( y = 2x + 11 \) and \( y=-3x + 1 \), set \( 2x + 11=-3x + 1 \).

Step2: Solve for x

Add \( 3x \) to both sides: \( 2x+3x + 11=-3x+3x + 1 \) → \( 5x + 11 = 1 \).
Subtract 11: \( 5x=1 - 11 \) → \( 5x=-10 \).
Divide by 5: \( x=\frac{-10}{5}=-2 \).

Step3: Find y

Substitute \( x = -2 \) into \( y = 2x + 11 \): \( y=2(-2)+11=-4 + 11 = 7 \).

Answer:

The solution is \( x=-2 \), \( y = 7 \).