Question

solve the system of equations graphed on the coordinate axes below.
$y = 2x + 8$
$y = -x + 8$

Explanation:

Step1: Set the equations equal

Since both equations equal \( y \), we set \( 2x + 8 = -x + 8 \).

Step2: Solve for \( x \)

Subtract \( 8 \) from both sides: \( 2x = -x \).
Add \( x \) to both sides: \( 3x = 0 \), so \( x = 0 \).

Step3: Find \( y \)

Substitute \( x = 0 \) into \( y = 2x + 8 \): \( y = 2(0) + 8 = 8 \).

Answer:

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