Q46 / 160 · AP EAMCET 2024 (22 May Shift 2) · Mathematics

The system of linear equations $x+2 y+z=-3,3 x+3 y-$ $2 z=-1,2 x+7 y+7 z=-4$ has

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

Solution

$A=\left|\begin{array}{ccc} 1 & 2 & 1 \\ 3 & 3 & -2 \\ 2 & 7 & 7 \end{array}\right|=1(21+14)-2(21+4)+1(21-6)=0$
So, system has no solution.

Hence, the correct answer is option: 'B'.

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