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For the equations x+2y+3z=1,2x+y+3z=2,5x+5y+9z=4

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a
There is only one solution
b
There exist infinitely many solution
c
There is no solution
d
The equations are inconsistent

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detailed solution

Correct option is A

We have123213559=19-15-218-15+10-5=-6-6+5=-7≠0 ⇒The given non-homogeneous system of equations has unique solution.


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