which ordered pair is the solution of the following system of equations?

Question

y=2x-3
x+y=3
1) (1,2)
2)(2,1)
3)(3,0)
4)(3,3)
MY work:
y=2x-3
x+(2x-3)=3
3x-3=3
+3 +3
3x/3=6/3
x=2

x+y=3
2+y=3
-2 -2
y=1
so I got (2,1) which would be answer 2
Is this correct? Thanks for checking my work

Answer 1

yes, you are correct

Answer 2

y = 3x + 1
y = 5x – 3