Home
Class 12
MATHS
Test the consistency of the linear equat...

Test the consistency of the linear equations `3x-y+z=3 , 2x+2y-3z=1` and `25x+5y-10z=20`.

Text Solution

Verified by Experts

The correct Answer is:
`(x=(t+7)/(8), y=(11t+3)/(8),z=t)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.1|19 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.2|11 Videos

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

Similar Questions

Explore conceptually related problems

Examine the consistency of the system of equations 3x-y -2z =2 2y - z =-1 3x- 5y =3

Examine the consistency of the equations. 2x-3y+7z=5,3x+y-3z=13,2x+19y-47z=32

Examine the consistency of the system of equations 5x-y+4z =5 2x+ 3y + 5z =2 5x-2y + 6z =-1

Examine the consistency of the system of equations x+ y +z=1 2x+ 3y +2z =2 ax+ay +2az =4

The system of linear equations x +y+z =6, x+2y+3z= 14 and 2x+5y+ lambdaz=mu(lambda,mu in "RR") is consistent with unique solution if

The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a^(2) - 1)z = a + 1

Solve the following system of the linear equations in three varaibles. x+y+z=6, 2x+3y+4z=20, 3x+2y+5z=22