Step 1 :Convert the equations into slope-intercept form: \(y = -x + 1\) and \(y = -\frac{3}{5}x + 3\)
Step 2 :Graph the equations and find the point of intersection
Step 3 :The point of intersection is \((5, -4)\)
Step 4 :The solution to the system of equations is \(\boxed{(5, -4)}\)