Solve:
\[
\begin{array}{l}
y=3 x-2 \\
x-y=4
\end{array}
\]
Final Answer: The solution to the system of equations is \(\boxed{x = -1, y = -5}\)
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 \(\boxed{x = -1, y = -5}\)