Question

solve the system of equations.
y=8x
y=2x+42
x =
y =

Explanation:

Step1: Substitute y from first equation

Since \( y = 8x \) and \( y = 2x + 42 \), substitute \( y \) in the second equation: \( 8x = 2x + 42 \)

Step2: Solve for x

Subtract \( 2x \) from both sides: \( 8x - 2x = 42 \) → \( 6x = 42 \). Divide by 6: \( x = \frac{42}{6} = 7 \)

Step3: Find y using x=7

Substitute \( x = 7 \) into \( y = 8x \): \( y = 8 \times 7 = 56 \)

Answer:

\( x = 7 \)
\( y = 56 \)