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cramers rule 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 Cramer's rule

Solve by substitution

Solve by elimination

Solve by Gaussian elimination

One step at a time

[

x+y+z=25

5x+3y+2z=0

y−z=6

]

Matrix of Coefficients

M=(

1	1	1
5	3	2
0	1	−1

)

Answers column:

(

)

Replace the x-column values with the answer-column values

M_x=(

25	1	1
0	3	2
6	1	−1

)

Replace the y-column values with the answer-column values

M_y=(

1	25	1
5	0	2
0	6	−1

)

Replace the z-column values with the answer-column values

M_z=(

1	1	25
5	3	0
0	1	6

)

D=5

D_x=−131

D_y=143

D_z=113

Solve by using Cramer Rule

x=D_xD , y=D_yD , z=D_zD

D denotes the determinant

x=D_xD =−1315

Simplify

x=−1315

y=D_yD =1435

z=D_zD =1135

The solutions to the system of equations are:

x=−1315 , y=1435 , z=1135

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היי, לשאול שאלה לגבי x+y+z=25,5x+3y+2z=0,y−z=6 או בחר מבין האפשרויות למטה

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

cramers rule x+y+z=25, 5x+3y+2z=0, y-z=6

Solution

Solution steps

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