S=(-1,3)
1) Given those two equations let's set a Linear System and then solve them.
x+y=2
y=2x+5
2) Let's use the Substitution Method, on the first equation.
x+(2x+5)=2
x +2x +5 = 2
3x +5=2
3x=-5+2
3x=-3
x=-1
2.2) Now let's plug that into the 2nd equation:
y=2x+5
y=2(-1)+5
y=-2+5
y= 3
3) Hence, the solution is S=(-1,3)