Question

solve the system of equations.
y=3x+20
y=7x
x =
y =

Explanation:

Step1: Substitute \( y = 7x \) into \( y = 3x + 20 \)

Since both equations equal \( y \), we can set them equal to each other: \( 7x = 3x + 20 \)

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides: \( 7x - 3x = 3x + 20 - 3x \) which simplifies to \( 4x = 20 \). Then divide both sides by 4: \( x = \frac{20}{4} = 5 \)

Step3: Solve for \( y \)

Substitute \( x = 5 \) into \( y = 7x \): \( y = 7 \times 5 = 35 \)

Answer:

\( x = 5 \)
\( y = 35 \)