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Q.

The number of solutions of the equationsx+y−2z=0 ,x+y+z=3  ,2x+y−z=1   is

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a

0

b

1

c

Infinitely

d

None

answer is B.

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Detailed Solution

[AB]=11-200-13121-11~11-2000330-131R2−R1R3−2R1 ~11-200-1310033⇒Unique solution
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The number of solutions of the equationsx+y−2z=0 ,x+y+z=3  ,2x+y−z=1   is