Question

solve the system by graphing.
y = x + 17
y = 4x + 2
the solution is (\square, \square).

Explanation:

Step1: Set equations equal

Since \( y = x + 17 \) and \( y = 4x + 2 \), set \( x + 17 = 4x + 2 \).

Step2: Solve for x

Subtract \( x \) and 2: \( 17 - 2 = 4x - x \) → \( 15 = 3x \) → \( x = 5 \).

Step3: Find y

Substitute \( x = 5 \) into \( y = x + 17 \): \( y = 5 + 17 = 22 \).

Answer:

(5, 22)