can someone help me solve a system using the gauss-jordan method?

[DarkManX]

the matrix is:

[5 -1 | 2 ]
[3 1 | 14]

solve for x and y

i got the solution using another method, tut i just cant get it usin gauss-jordan? can someone get me started or show me the steps?

 

[FleshLight]

R1 + R2 =

[5 -1 | 2 ]
[8 0 | 16]

8 * x1 + 0 * x2 = 16
x1 = 2

Then substitute x1 into R1 to get:
5 * 2 - 1 * x2 = 2
x2 = 8

 

[tfinch2]

http://aspire.cs.uah.edu/textbook/gauss.html

 

[DarkManX]

Originally posted by: FleshLight
R1 + R2 =

[5 -1 | 2 ]
[8 0 | 16]

8 * x1 + 0 * x2 = 16
x1 = 2

Then substitute x1 into R1 to get:
5 * 2 - 1 * x2 = 2
x2 = 8

its a system.. i need to solve for x and y..

 

[FleshLight]

Originally posted by: DarkManX

Originally posted by: FleshLight
R1 + R2 =

[5 -1 | 2 ]
[8 0 | 16]

8 * x1 + 0 * x2 = 16
x1 = 2

Then substitute x1 into R1 to get:
5 * 2 - 1 * x2 = 2
x2 = 8

its a system.. i need to solve for x and y..

ORLY?

It's solved for x and y.

 

[tfinch2]

Originally posted by: FleshLight

Originally posted by: DarkManX

Originally posted by: FleshLight
R1 + R2 =

[5 -1 | 2 ]
[8 0 | 16]

8 * x1 + 0 * x2 = 16
x1 = 2

Then substitute x1 into R1 to get:
5 * 2 - 1 * x2 = 2
x2 = 8

its a system.. i need to solve for x and y..

ORLY?

It's solved for x and y.

That's not Gauss-Jordan elimination.

 

[DarkManX]

i need to see the row operations

 

[tfinch2]

Originally posted by: DarkManX
i need to see the row operations

[5 -1 2] R1 <- (1/5) R1
[3 1 14]

[1 -.2 .4]
[3 1 14] R2 <- R2 + -3R1

[1 -.2 .4]
[0 1.6 12.8] R2 <- (5/8)R2

[1 -.2 .4] R1 <- R1 + (1/5)R2
[0 1 8]

[1 0 2]
[0 1 8]

 

[DarkManX]

thank u...

i also need to find the equation of a line that is perpendicular to x=3 and contains (6,9) ?
i believe the eqution would be y=9... is that correct?

 

[tfinch2]

Originally posted by: DarkManX
thank u...

i also need to find the equation of a line that is perpendicular to x=3 and contains (6,9) ?
i believe the eqution would be y=9... is that correct?

Sounds like it.