$\begin{array}{l}y=-x+3 \\ y=6 x-4\end{array}$
\(\boxed{(1, 2)}\)
Step 1 :Set the two equations equal to each other: \(-x + 3 = 6x - 4\)
Step 2 :Solve for x: \(x = 1\)
Step 3 :Substitute the value of x back into one of the equations to find the corresponding y value: \(y = -1 + 3\)
Step 4 :Solve for y: \(y = 2\)
Step 5 :\(\boxed{(1, 2)}\)