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