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 \( -4x + 3y = -2 \)

We know that \( y \) in the second equation can be replaced with \( x - 1 \) from the first equation. So we get:
\( -4x + 3(x - 1) = -2 \)

Step2: Simplify the equation

First, expand the left - hand side: \( -4x+3x - 3=-2 \)
Then, combine like terms: \( -x - 3=-2 \)
Add 3 to both sides of the equation: \( -x=-2 + 3=-1 \)
Multiply both sides by - 1: \( x = 1 \)

Step3: Find the value of \( y \)

Substitute \( x = 1 \) into \( y=x - 1 \), we get \( y=1 - 1=0 \)

Answer:

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