Question

x = 2y + 4\
x + 6y = -4

Explanation:

Step 1: Substitute \( x \) from the first equation into the second equation.

The first equation is \( x = 2y + 4 \). Substitute this into the second equation \( x + 6y = -4 \), we get:
\( (2y + 4) + 6y = -4 \)

Step 2: Simplify and solve for \( y \).

Combine like terms: \( 2y + 6y + 4 = -4 \)
\( 8y + 4 = -4 \)
Subtract 4 from both sides: \( 8y = -4 - 4 \)
\( 8y = -8 \)
Divide both sides by 8: \( y = \frac{-8}{8} = -1 \)

Step 3: Substitute \( y = -1 \) back into the first equation to find \( x \).

Substitute \( y = -1 \) into \( x = 2y + 4 \):
\( x = 2(-1) + 4 \)
\( x = -2 + 4 = 2 \)

Answer:

\( x = 2 \), \( y = -1 \)