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13 votes
13 votes
Solve the system using a matrix.

3x -y + 2z =7
6x -10y + 3z =12
x – y + 4z = 9
([?],[ ], [ ] )
Give your answer as an ordered triple.​

User Matt Houser
by
3.2k points

1 Answer

21 votes
21 votes

Answer:

(1, 0, 2)

Explanation:

[3 -1 2 | 7 ]

|6 -10 3 | 12|

[1 -1 4 | 9 ]

To the first row, add -3 times the values of the third row

To the second row, add -6 times the values of the third row

[0 2 -10 | -20 ]

|0 -4 -21 | -42 |

[1 -1 4 | 9 ]

To the second row, add 2 times the values in the first row

[0 2 -10 | -20 ]

|0 0 -41 | -82 |

[1 -1 4 | 9 ]

z = -82 / -41

z = 2

2y - 10(2) = -20

y = 0

x - 0 + 4(2) = 9

x = 1

User Kubba
by
3.3k points