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 Consider the system of  linear equations:   x1+2x2+x3=3,2x1+3x2+x3=3 , 3x1+5x2+2x3=1. The system has 

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a
a unique solution
b
no solution
c
infinite number of solution
d
exactly two solutions

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detailed solution

Correct option is B

The system of linear equations arex1+2x2+x3=3……..(1)2x1+3x2+x3=3……..(2)3x1+5x2+2x3=1………(3) Add (1) and (2) equations ⇒3x1+5x2+2x3=6……(4) Subtraet (4) from (3)⇒0=5So the given system linear equation has no solution.Therefore, the correct answer is (2).


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