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Question

The system 2x+3y+z=5,3x+y+5z=7,x+4y−2z=3 has:

A
unique solution
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B
finite number of solutions
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C
infinite solutions
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D
no solution
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Solution

The correct option is C no solution
Using Cramer's rule, D=∣ ∣231315142∣ ∣=2(220)3(65)+1(121)=44+33+11=0
Since D=0, we cannot have a solution to the given set of equations.

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