Question

1. x + 7y = 0

2x - 8y = 22

Explanation:

Step1: Solve first equation for x

From \( x + 7y = 0 \), we get \( x = -7y \).

Step2: Substitute x into second equation

Substitute \( x = -7y \) into \( 2x - 8y = 22 \):
\( 2(-7y) - 8y = 22 \)
\( -14y - 8y = 22 \)
\( -22y = 22 \)

Step3: Solve for y

Divide both sides by -22: \( y = \frac{22}{-22} = -1 \)

Step4: Solve for x

Substitute \( y = -1 \) into \( x = -7y \):
\( x = -7(-1) = 7 \)

Answer:

\( x = 7 \), \( y = -1 \)