Solve Equations x+y+z=3,2x-y-z=3,x-y+z=9 using Gauss-Jordan Elimination method

Solution:
Total Equations are `3`

`x+y+z=3 -> (1)`

`2x-y-z=3 -> (2)`

`x-y+z=9 -> (3)`

Converting given equations into matrix form

	`1`	`1`	`1`		`3`
	`2`	`-1`	`-1`		`3`
	`1`	`-1`	`1`		`9`

`R_2 larr R_2-2xx R_1`

=	`1` `1` `1` `3` `0` `-3` `-3` `-3` `1` `-1` `1` `9`

`R_3 larr R_3- R_1`

=	`1` `1` `1` `3` `0` `-3` `-3` `-3` `0` `-2` `0` `6`

`R_2 larr R_2-:-3`

=	`1` `1` `1` `3` `0` `1` `1` `1` `0` `-2` `0` `6`

`R_1 larr R_1- R_2`

=	`1` `0` `0` `2` `0` `1` `1` `1` `0` `-2` `0` `6`

`R_3 larr R_3+2xx R_2`

=	`1` `0` `0` `2` `0` `1` `1` `1` `0` `0` `2` `8`

`R_3 larr R_3-:2`

=	`1` `0` `0` `2` `0` `1` `1` `1` `0` `0` `1` `4`

`R_2 larr R_2- R_3`

=	`1` `0` `0` `2` `0` `1` `0` `-3` `0` `0` `1` `4`

`i.e.`

`x=2`

`y=-3`

`z=4`

Solution By Gauss jordan elimination method
`x=2,y=-3 and z=4`

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