Step 1 :The system of equations is in the form of a linear system. We can solve it by substitution or elimination. Since the first equation is already solved for y, it would be easiest to use substitution.
Step 2 :We can substitute \(y = -2x + 3\) into the second equation and solve for x.
Step 3 :Doing this gives us the equation \(3x - 15 = -9\).
Step 4 :Solving this equation gives us \(x = 2\).
Step 5 :Once we have the value of x, we can substitute it back into the first equation to find the value of y.
Step 6 :Substituting \(x = 2\) into the first equation gives us \(y = -1\).
Step 7 :The solution to the system of equations is \(\boxed{(2, -1)}\).