Question

solve the system of equations.
y=6x+12
y=x+47
x =
y =

Explanation:

Step1: Set equations equal

Since both equal \( y \), set \( 6x + 12 = x + 47 \).

Step2: Solve for \( x \)

Subtract \( x \) and 12: \( 5x = 35 \), so \( x = 7 \).

Step3: Find \( y \)

Substitute \( x = 7 \) into \( y = x + 47 \): \( y = 7 + 47 = 54 \).

Answer:

\( x = 7 \)
\( y = 54 \)