Solve by substitution
y=x+3
y=2x+5

Y = x+3
y = 2x+5
x+3 = 2x+5
x+8 = 2x
x = 8

I think I did that right, anyway.

Y=x+3
y=2x+5

1. Solve for the variable that is easiest to find. 
     In this case I will solve for x.
y=x+3
-3       -3
y-3=x

2. Now plug in (y-3) for x in the other equation.
   y=2(y-3)+5  ~use distributive property 
   y=2y-6+5     ~combine like terms
   y=2y-1
-2y=-2y
  -y=-1             ~multiply both sides by -1
   y=1
 
3. Since you have a value for y you can plug it in to solve for x.
     y=x+3
    1=x+3
    -3    -3
    -2=x

Answers: 
y=1
x=-2