solving by substitution?

Question

y=-x+5
2x-3y=-5

Answer 1

y=-x+5
2x-3y=-5
1) 2x-3(-x+5)=-5 substitute for y
2) 2x+3x-15=-5 distribute
3) 5x-15=-5 combine like terms
4) 5x=10 add 15 to both sides
5) x=2 divide by 5
6) y=-2+5 plug in 2 for x in an equation
7) y=3 solve for y by adding like terms
Answer: x=2;y=3

Answer 2

The easiset way to solve this is to use the 1st equation to solve the second.
y= -x+5
substitue the y in the second equation (2x-3y=-5) for the 1st equation (y=-x+5) so you get:
y=-x+5
2x-3(-x+5)=-5
2x+3x-15=-5
5x-15=-5
5x=10
x=2
Then take the x=2 and plug it into the 1st equation
y=-x+5
y=-2+5
y=3
to put it in linear form you get (2,3)

Answer 3

2x-3(-x+5)=-5
2x+3x-15=-5
5x-15=-5
5x-15+15=-5+15
5x=10
x=2

y=-2+5
y=-2+5
y=3