Question

1. y = -4 2x + y = 2

Explanation:

Step1: Substitute y into the second equation

We know \( y = -4 \), substitute it into \( 2x + y = 2 \). So we get \( 2x + (-4) = 2 \), which simplifies to \( 2x - 4 = 2 \).

Step2: Solve for x

Add 4 to both sides of the equation \( 2x - 4 = 2 \). We have \( 2x - 4 + 4 = 2 + 4 \), so \( 2x = 6 \). Then divide both sides by 2: \( \frac{2x}{2} = \frac{6}{2} \), which gives \( x = 3 \).

Answer:

The solution to the system of equations is \( x = 3 \), \( y = -4 \)