Solve for x and y

(1)    x+3y=17

(2)     y+2=2x+3         |-2

             y=2x+1

        x+3(2x+1)=17

             x+6x+3=17   |-3

                     7x=14  |:7

                       x=2

                 2+3y=17   |-2

                     3y=15  |:3

                       y=5