Question

solve the system by graphing.
y = -x + 27
y = x + 3
the solution is (\square, \square).

Explanation:

Step1: Set equations equal

Since \( y = -x + 27 \) and \( y = x + 3 \), set \( -x + 27 = x + 3 \).

Step2: Solve for \( x \)

Add \( x \) to both sides: \( 27 = 2x + 3 \). Subtract 3: \( 24 = 2x \). Divide by 2: \( x = 12 \).

Step3: Find \( y \)

Substitute \( x = 12 \) into \( y = x + 3 \): \( y = 12 + 3 = 15 \).

Answer:

(12, 15)