GATE | GATE-CS-2014-(Set-1) | Question 65

Consider the following system of equations:

3x + 2y = 1
4x + 7z = 1
x + y + z = 3
x – 2y + 7z = 0

The number of solutions for this system is __________________
(A) 1
(B) 0
(C) 2
(D) 3

Answer: (A)
Explanation: rank(Augmented Matrix) = rank(Matrix) = no of unknowns.

Hence it has a unique solution.
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