Question

solve the system of equations.
$y = 7x$
$y = 2x + 20$
your answer
$x = \square$
$y = \square$

Explanation:

Step1: Substitute \( y = 7x \) into \( y = 2x + 20 \)

Since both equations equal \( y \), we can set them equal to each other: \( 7x = 2x + 20 \)

Step2: Solve for \( x \)

Subtract \( 2x \) from both sides: \( 7x - 2x = 20 \) which simplifies to \( 5x = 20 \). Then divide both sides by 5: \( x = \frac{20}{5} = 4 \)

Step3: Solve for \( y \)

Substitute \( x = 4 \) into \( y = 7x \): \( y = 7 \times 4 = 28 \)

Answer:

\( x = 4 \)
\( y = 28 \)