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