Question

solve the system by graphing.
y = 2x + 9
y = -x + 6
the solution is (\square, \square).

Explanation:

Step1: Set equations equal

Since \( y = 2x + 9 \) and \( y = -x + 6 \), set \( 2x + 9 = -x + 6 \).

Step2: Solve for x

Add \( x \) to both sides: \( 3x + 9 = 6 \). Subtract 9: \( 3x = -3 \). Divide by 3: \( x = -1 \).

Step3: Find y

Substitute \( x = -1 \) into \( y = -x + 6 \): \( y = -(-1) + 6 = 1 + 6 = 7 \).

Answer:

\((-1, 7)\)