Solve Equations 2x+5y=16,3x+y=11 using Gauss-Jordan Elimination method

Solution:
Total Equations are `2`

`2x+5y=16 -> (1)`

`3x+y=11 -> (2)`

Converting given equations into matrix form

	`2`	`5`		`16`
	`3`	`1`		`11`

`R_1 larr R_1-:2`

=	`1` `1=2-:2` `R_1 larr R_1-:2`  `5/2` `5/2=5-:2` `R_1 larr R_1-:2`  `8` `8=16-:2` `R_1 larr R_1-:2` `3` `1` `11`

`R_2 larr R_2-3xx R_1`

=	`1` `5/2` `8`  `0` `0=3-3xx1` `R_2 larr R_2-3xx R_1`  `-13/2` `-13/2=1-3xx5/2` `R_2 larr R_2-3xx R_1`  `-13` `-13=11-3xx8` `R_2 larr R_2-3xx R_1`

`R_2 larr R_2xx-2/13`

=	`1` `5/2` `8`  `0` `0=0xx-2/13` `R_2 larr R_2xx-2/13`  `1` `1=-13/2xx-2/13` `R_2 larr R_2xx-2/13`  `2` `2=-13xx-2/13` `R_2 larr R_2xx-2/13`

`R_1 larr R_1-5/2xx R_2`

=	`1` `1=1-5/2xx0` `R_1 larr R_1-5/2xx R_2`  `0` `0=5/2-5/2xx1` `R_1 larr R_1-5/2xx R_2`  `3` `3=8-5/2xx2` `R_1 larr R_1-5/2xx R_2` `0` `1` `2`

`i.e.`

`x=3`

`y=2`

Solution By Gauss jordan elimination method.
`x = 3`

`y = 2`

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