GATE Electrical Engineering (EE) 2014 Shift 1 Solved Paper

Question : 11 of 65

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Given a system of equations

x\: + \:2y\: + \:2z\: = \:b_{1},\:\:\:\:\:5x\: + \:y\: + \:3z\: = \:b_{2}

Which of the following is true about solutions?

The system has a unique solution for any given $b_{1}$ and $b_{2}$
The system will have infinitely many solutions for any given $b_{1}$ and $b_{2}$
Whether or not a solution exists depends on the given $b_{1}$ and $b_{2}$
The system world have no solution for any value of $b_{1}$ and $b_{2}$

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