Question

solve the system of equations graphed on the coordinate axes below.
y = x + 8
y = -3x + 8

Explanation:

Step1: Set equations equal

Since both equal \( y \), set \( x + 8 = -3x + 8 \).

Step2: Solve for \( x \)

Subtract \( x \) and 8: \( 0 = -4x \), so \( x = 0 \).

Step3: Find \( y \)

Substitute \( x = 0 \) into \( y = x + 8 \): \( y = 0 + 8 = 8 \).

Answer:

The solution is \( (0, 8) \)