Question

1. $y = -\frac{1}{2}x + 3$ $y = -\frac{5}{2}x - 1$

Explanation:

Step1: Set equations equal

Since both equal \( y \), set \( -\frac{1}{2}x + 3 = -\frac{5}{2}x - 1 \).

Step2: Solve for \( x \)

Add \( \frac{5}{2}x \) to both sides: \( \frac{4}{2}x + 3 = -1 \) (simplify \( \frac{4}{2}x \) to \( 2x \)).
Subtract 3: \( 2x = -4 \).
Divide by 2: \( x = -2 \).

Step3: Find \( y \)

Substitute \( x = -2 \) into \( y = -\frac{1}{2}x + 3 \):
\( y = -\frac{1}{2}(-2) + 3 = 1 + 3 = 4 \).

Answer:

The solution is \( x = -2 \), \( y = 4 \) (or the point \((-2, 4)\)).