Question

y = 7x; x - 7y = -48

Explanation:

Step1: Substitute \( y = 7x \) into \( x - 7y = -48 \)

Substitute \( y \) in the second equation with \( 7x \) from the first equation. So we get \( x - 7(7x) = -48 \).

Step2: Simplify the equation

First, calculate \( 7(7x) = 49x \), then the equation becomes \( x - 49x = -48 \). Combine like terms: \( -48x = -48 \).

Step3: Solve for \( x \)

Divide both sides of the equation \( -48x = -48 \) by \( -48 \), we get \( x = \frac{-48}{-48} = 1 \).

Step4: Find the value of \( y \)

Substitute \( x = 1 \) into \( y = 7x \), so \( y = 7\times1 = 7 \).

Answer:

The solution to the system of equations is \( x = 1 \), \( y = 7 \)