Question

1. $y = 2x + 5$; $y = -3x$

Explanation:

Step1: Set the two equations equal

Since \( y = 2x + 5 \) and \( y=-3x \), we can set \( 2x + 5=-3x \).

Step2: Solve for x

Add \( 3x \) to both sides: \( 2x+3x + 5=-3x + 3x \), which simplifies to \( 5x+5 = 0 \). Then subtract 5 from both sides: \( 5x+5 - 5=0 - 5 \), so \( 5x=-5 \). Divide both sides by 5: \( x=\frac{-5}{5}=-1 \).

Step3: Find y

Substitute \( x = -1 \) into \( y=-3x \), so \( y=-3\times(-1)=3 \).

Answer:

The solution is \( x = -1 \), \( y = 3 \)