From the first equation we get: [tex]x=2y-2[/tex] Use the value of x in the second equation like this: [tex]y=\frac{1}{2}(2y-2)+1[/tex] Solving the above equation for y we get: [tex]y=y[/tex] The above equation is alway satisfied. Then the system has an infinite set of solutions. Any number is a solution to the system.