Home
Class 12
MATHS
If the system of linear equations 2x +...

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 than one solution, then

A

`a+b+c=0`

B

`b-c+a=0`

C

`b+c-a=0`

D

`b-c-a=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

The system of linear equations lambda x + y + z = 3 x - y - 2z = 6 -x + y + z = mu has

If the following system of linear equations 2x + y + z = 5 x - y +z = 3 x + y + az = b has no solution, then :

If the system of linear equations x + y + 3z = 0 x + 3y + k^2 z = 0 3x + y + 3z = 0 has a non -zero solution (x, y, -z) for some k in R then x + (y/z) is equal to :

The system of linear equations x - 2y + z = 4 2x + 3y - 4z = 1 x - 9y + (2a + 3)z = 5a + 1 has infinitely many solution for:

The system of equations -2x+y+z=a x-2y+z=b x+y-2z=c has

Consider the system of equation x+2y-3z=a , 2x+6y-11z=b , x-2y+7c then

The system of equations x+2y +3z =4, 2x+3y+4z=5,3x+4y+5z=6 has