1. Solve Equations 2x+5y=21,x+2y=8 using Gauss-Jordan Elimination method

Solution:
Total Equations are `2`

`2x+5y=21 -> (1)`

`x+2y=8 -> (2)`

Converting given equations into matrix form

	`2`	`5`		`21`
	`1`	`2`		`8`

`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`  `21/2` `21/2=21-:2` `R_1 larr R_1-:2` `1` `2` `8`

`R_2 larr R_2- R_1`

=	`1` `5/2` `21/2`  `0` `0=1-1` `R_2 larr R_2- R_1`  `-1/2` `-1/2=2-5/2` `R_2 larr R_2- R_1`  `-5/2` `-5/2=8-21/2` `R_2 larr R_2- R_1`

`R_2 larr R_2xx-2`

=	`1` `5/2` `21/2`  `0` `0=0xx-2` `R_2 larr R_2xx-2`  `1` `1=-1/2xx-2` `R_2 larr R_2xx-2`  `5` `5=-5/2xx-2` `R_2 larr R_2xx-2`

`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`  `-2` `-2=21/2-5/2xx5` `R_1 larr R_1-5/2xx R_2` `0` `1` `5`

`i.e.`

`x=-2`

`y=5`

Solution By Gauss jordan elimination method.
`x = -2`

`y = 5`

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