Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For the system of linear equations
2x - y + 3z = 5
3x + 2y - z = 7
4z + 5y + 
z = 
which of the following is NOT correct?
A
The system has infinitely many solutions for 
=-5 and 
= 9
=-5 and = 9
B
The system has infinitely many solutions for 
= -6 and 
= 9
= -6 and = 9
C
The system in inconsistent for 
=- 5 and 
= 8
=- 5 and = 8
D
The system has a unique solution for 
- 5 and 
= 8
- 5 and = 8
Text Solution
Verified by ExpertsThe correct answer is:
B
Given,
For the system of linear equations
2x - y + 3z = 5
3x + 2y - z = 7
4x + 5y + 
z = 
,
Now finding,
Now we know that, for unique solution 
So, in option 
=- 6 corresponds to infinitely many solution, which is completely wrong hence, this is answer.
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