Problem

Solve:
\[
\begin{array}{l}
y=3 x-2 \\
x-y=4
\end{array}
\]

Answer

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Answer

Final Answer: The solution to the system of equations is \(\boxed{x = -1, y = -5}\)

Steps

Step 1 :Given the system of equations: \(y = 3x - 2\) and \(x - y = 4\)

Step 2 :From the first equation, we can express y in terms of x: \(y = 3x - 2\)

Step 3 :Substitute y from the first equation into the second equation: \(x - (3x - 2) = 4\)

Step 4 :Solve the equation for x: \(x = -1\)

Step 5 :Substitute x = -1 into the first equation to solve for y: \(y = 3(-1) - 2 = -5\)

Step 6 :Final Answer: The solution to the system of equations is \(\boxed{x = -1, y = -5}\)

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