Question

solve the system of equations.
y=8x+15
y=x+57

Explanation:

Step1: Set equations equal

Since both equal \( y \), set \( 8x + 15 = x + 57 \).

Step2: Solve for \( x \)

Subtract \( x \) and 15: \( 8x - x = 57 - 15 \) → \( 7x = 42 \) → \( x = 6 \).

Step3: Find \( y \)

Substitute \( x = 6 \) into \( y = x + 57 \): \( y = 6 + 57 = 63 \).

Answer:

\( x = 6 \)
\( y = 63 \)