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Section 7.2 (continued)
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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)
**
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*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)**