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The system of equation 2x + y - 3z = 5...

The system of equation
`2x + y - 3z = 5`
`3x-2y+2z=5` and
`5x-3y-z=16`

A

is inconsistent

B

is consistent, with unique solution

C

is consistent, with infinitely many solutions

D

has its solution lying along x-axis in three-dimensional space

Text Solution

Verified by Experts

The correct Answer is:
B
Since `|{:(2,1,-3),(3,-2,2),(5,-3,-1):}|=26 ne 0`
`rArr` System is consistent with unique solution.
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