Section 7.2 (continued)

*Sometimes we have to do some work to get a variable by itself

Ex: 2x+y=8 ––> y=2x+8 Ex: 2x+3y=10
-2x -2x | | 4x+2y=12
| | 2y=12-4x
4x-3y=6 <––––– |
y=6-2x
| 2x+3(-2x+6)=10
4x-3(-2x+8)=6 | 2x-6x+18=10
4x+6x-24=6 | –18 –18
10x-24=6 | -4x= –8
10x=30 |
x=2
x=3 –––––––––––––
y=6-2(2)
y=-2(8)+8
y=2
y=2

(
3,2) (2,2)**