Question

3x + 14y = -14
x + 7y = -7

Explanation:

Step1: Solve the second equation for x

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

Step2: Substitute x into the first equation

Substitute \( x = -7 - 7y \) into \( 3x + 14y = -14 \):
\( 3(-7 - 7y) + 14y = -14 \)

Step3: Simplify the equation

Expand: \( -21 - 21y + 14y = -14 \)
Combine like terms: \( -21 - 7y = -14 \)
Add 21 to both sides: \( -7y = 7 \)
Divide by -7: \( y = -1 \)

Step4: Find x using y

Substitute \( y = -1 \) into \( x = -7 - 7y \):
\( x = -7 - 7(-1) = -7 + 7 = 0 \)

Answer:

\( x = 0 \), \( y = -1 \)