Verified Solution • 2025–26 Session
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QJEEM21Ma56d5: JEE Main 2021 Mathematics - Class 12 JEEM21Ma56d5 Solution: If the system of linear equations 2x + y z = 3 x y z = 3x + 3y…
If the system of linear equations
2x + y z = 3
x y z =
3x + 3y + z = 3
has infinitely many solution, then + is equal to _____________.
2x + y z = 3
x y z =
3x + 3y + z = 3
has infinitely many solution, then + is equal to _____________.
Step-by-Step Verified Solution
2 (i) (ii) (iii) gives :
(1 + )z = 3
For infinitely many solution
+ 1 = 0 = 3 ( , ) = (3, 1)
Hence, + = 5
(1 + )z = 3
For infinitely many solution
+ 1 = 0 = 3 ( , ) = (3, 1)
Hence, + = 5