Question

solve the system of equations.
$y = 9x$
$y = 2x + 63$
$x = \square$
$y = \square$

Explanation:

Step1: Substitute \( y = 9x \) into \( y = 2x + 63 \)

Since both equations equal \( y \), we can set them equal to each other: \( 9x = 2x + 63 \)

Step2: Solve for \( x \)

Subtract \( 2x \) from both sides: \( 9x - 2x = 63 \) which simplifies to \( 7x = 63 \)
Then divide both sides by 7: \( x = \frac{63}{7} = 9 \)

Step3: Solve for \( y \)

Substitute \( x = 9 \) into \( y = 9x \): \( y = 9 \times 9 = 81 \)

Answer:

\( x = 9 \)
\( y = 81 \)