Question

solve the system of equations.
-4x + 3y = -2
y = x - 1
x =
y =
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Explanation:

Step1: Substitute \( y = x - 1 \) into \( -4x + 3y = -2 \)

Substitute \( y \) in the first equation: \( -4x + 3(x - 1) = -2 \)

Step2: Simplify the equation

Expand and combine like terms: \( -4x + 3x - 3 = -2 \) → \( -x - 3 = -2 \)

Step3: Solve for \( x \)

Add 3 to both sides: \( -x = 1 \) → Multiply by -1: \( x = -1 \)

Step4: Solve for \( y \)

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

Answer:

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