Question

1. y = -4x - 7

y = 2x + 5

Explanation:

Step1: Set the two equations equal

Since both equal \( y \), we set \( -4x - 7 = 2x + 5 \).

Step2: Solve for \( x \)

Add \( 4x \) to both sides: \( -7 = 6x + 5 \).
Subtract \( 5 \) from both sides: \( -12 = 6x \).
Divide by \( 6 \): \( x = -2 \).

Step3: Substitute \( x \) to find \( y \)

Use \( y = 2x + 5 \), substitute \( x = -2 \): \( y = 2(-2) + 5 = -4 + 5 = 1 \).

Answer:

The solution is \( x = -2 \), \( y = 1 \) (or the ordered pair \((-2, 1)\)).