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Consider the system of linear equations :

x1+2x2+x3=32x1+3x2+x3=33x1+5x2+2x3=1

The system has

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a
a unique solution
b
no solution
c
infinite number of solutions
d
exactly 3 solutions

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detailed solution

Correct option is B

Adding the first two equations and subtracting the third from the sum, we obtainx1+2x2+x3+2x1+3x2+x3−3x1+5x2+2x3=3+3−1⇒0=5Thus, the system of equations has no solution.


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