To solve the system of equations, we can use substitution or elimination methods. Let's use substitution.
Solving the first equation for x, we get:
x = y - 1
Now, substitute this expression for x into the second equation:
2(y - 1) - 1 = 0
Expand and simplify:
2y - 2 = 0
y = 2
Now, substitute y = 2 into the first equation to find x:
x = y - 1
x = 2 - 1
x = 1
So, the solution to the system is (1, 2).