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gaussian elimination x+y+z=25, 5x+3y+2z=0, y-z=6

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x+y+z=25, 5x+3y+2z=0, y−z=6

Solution

x=−1315 , y=1435 , z=1135

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Solve by:

Solve by Gaussian elimination

Solve by substitution

Solve by elimination

Solve by Cramer's rule

One step at a time

[

x+y+z=25

5x+3y+2z=0

y−z=6

]

Write an augmented matrix with the coefficients and solutions

[

1	1	1	¦	25
5	3	2	¦	0
0	1	−1	¦	6

]

Use Gauss Jordan

[

1	0	0	¦	−1315
0	1	0	¦	1435
0	0	1	¦	1135

]

The solutions to the system of equations are:

x=−1315 , y=1435 , z=1135

System of Equations Gaussian Elimination Examples

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أهلاً, اطرح سؤالا حول x+y+z=25,5x+3y+2z=0,y−z=6 أو اختر من الخيارات أدناه

حل بواسطة: substitution

حل بواسطة: elimination

حل بواسطة: Cramer's rule

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

gaussian elimination x+y+z=25, 5x+3y+2z=0, y-z=6

Solution

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