Question

solve the system of equations.
y = x + 46
y = 7x + 16
x =
y =

Explanation:

Step1: Set equations equal

Since \( y = x + 46 \) and \( y = 7x + 16 \), set \( x + 46 = 7x + 16 \).

Step2: Solve for x

Subtract \( x \) and 16: \( 46 - 16 = 7x - x \) → \( 30 = 6x \) → \( x = 5 \).

Step3: Find y

Substitute \( x = 5 \) into \( y = x + 46 \): \( y = 5 + 46 = 51 \).

Answer:

\( x = 5 \), \( y = 51 \)