You separate i and j components first: -T2 cos(45)+ T1 cos(30)= 0 and T2sin(45)+ T1cos(30)- 22= 0 or T2sin(45)= T1cos(30)= 22. You now have two equations in two unknown variables. One way to solve would be to multiply the first equation by sin(45) and the second equation by cos(45). That makes the coefficient of T2 in the first equation -sin(45)cos(45) and in the second equation sin(45)cos(45). Adding the two equations, those cancel leaving an equation in T1 only.

By the way, you know that , cos(60)= 1/2 and , don't you?