Question

1. $y = 4x - 9$ $y = x - 3$

Explanation:

Step1: Set the two equations equal

Since both equations are solved for \( y \), we can set \( 4x - 9 = x - 3 \).

Step2: Solve for \( x \)

Subtract \( x \) from both sides: \( 4x - x - 9 = -3 \), which simplifies to \( 3x - 9 = -3 \). Then add 9 to both sides: \( 3x = -3 + 9 \), so \( 3x = 6 \). Divide both sides by 3: \( x = \frac{6}{3} = 2 \).

Step3: Find \( y \)

Substitute \( x = 2 \) into \( y = x - 3 \): \( y = 2 - 3 = -1 \).

Answer:

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