Question

1. $y = -x + 7$

$y = x + 1$

Explanation:

Step1: Set the equations equal

Since both equal \( y \), set \( -x + 7 = x + 1 \).

Step2: Solve for \( x \)

Add \( x \) to both sides: \( 7 = 2x + 1 \). Subtract 1: \( 6 = 2x \). Divide by 2: \( x = 3 \).

Step3: Find \( y \)

Substitute \( x = 3 \) into \( y = x + 1 \): \( y = 3 + 1 = 4 \).

Answer:

The solution is \( x = 3 \), \( y = 4 \) (the point of intersection is \( (3, 4) \)).