Verified Solution • 2025–26 Session moderate

QJEEM19Mad2c2: JEE Main 2019 Mathematics - Class 12 JEEM19Mad2c2 Solution: If the system of linear equations 2x + 2y + 3z = a 3x – y + 5z…

If the system of linear equations
2x + 2y + 3z = a
3x – y + 5z = b
x – 3y + 2z = c
where a, b, c are non zero real numbers, has more one solution, then :

Multiple Choice Options

  • A b – c – a = 0
  • B a + b + c = 0
  • C b – c + a = 0
  • D b + c – a = 0

Step-by-Step Verified Solution

P1 : 2x + 2y + 3z = a

P2 : 3x −- y + 5z = b

P3 : x −- 3y + 2z = c

We find

P1 + P3 = P2 ⇒\Rightarrow a + c = b

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