Question

-4x + 2y = -10

y = 4x - 13

Explanation:

Step1: Substitute \( y = 4x - 13 \) into \( -4x + 2y = -10 \)

Substitute \( y \) in the first equation with \( 4x - 13 \):
\( -4x + 2(4x - 13) = -10 \)

Step2: Simplify and solve for \( x \)

Expand the equation:
\( -4x + 8x - 26 = -10 \)
Combine like terms:
\( 4x - 26 = -10 \)
Add 26 to both sides:
\( 4x = 16 \)
Divide by 4:
\( x = 4 \)

Step3: Substitute \( x = 4 \) into \( y = 4x - 13 \)

Find \( y \):
\( y = 4(4) - 13 = 16 - 13 = 3 \)

Answer:

\( x = 4 \), \( y = 3 \)