Aptitude | GATE CS 1998 | Question 2

Consider the following set of equations

x+2y = 5
4x+8y = 12
3x+6y+3z = 15

This set-
(A) has a unique solution
(B) has no solutions
(C) has finite number of solutions
(D) has infinite number of solutions

Answer: (B)

Explanation: When the given set of equations are represented in matrix form, the coefficient matrix A is singular. Since the determinant value of A is 0, the system of equations is inconsistent.
Therefore, option (B) is correct.

This explanation is provided by Chirag Manwani.

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