Question

solve the system of equations.
-7x - 6y = 4
x = -3y + 8
x =

y =

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Explanation:

Step1: Substitute \( x = -3y + 8 \) into \( -7x - 6y = 4 \)

Substitute \( x \) in the first equation: \( -7(-3y + 8) - 6y = 4 \)

Step2: Simplify the equation

Expand: \( 21y - 56 - 6y = 4 \)
Combine like terms: \( 15y - 56 = 4 \)

Step3: Solve for \( y \)

Add 56 to both sides: \( 15y = 60 \)
Divide by 15: \( y = 4 \)

Step4: Solve for \( x \)

Substitute \( y = 4 \) into \( x = -3y + 8 \): \( x = -3(4) + 8 = -12 + 8 = -4 \)

Answer:

\( x = -4 \)
\( y = 4 \)