$\begin{array}{l}y=-x+3 \\ y=6 x-4\end{array}$

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 ：\(\boxed{(1, 2)}\)