Home
Class 11
MATHS
Examine whether the following system of ...

Examine whether the following system of equations are consistent or inconsistent and if consistent, find the complete solution, `x+y+z = 1, 2x+y+z = 2, x+2y+2z = 1`.

Text Solution

Verified by Experts

The correct Answer is:
Consistent ; `x=1,y=-k,z=k`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise Exercise - 3.8 (Short Answer Questions)|5 Videos

  • MATRICES

    AAKASH SERIES|Exercise Exercise - 3.9 (Long Answer Questions)|9 Videos

  • MATRICES

    AAKASH SERIES|Exercise Exercise - 3.6 (Very Short Answer Questions)|13 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

Check whether the following equations are consistent or inconsistent. 3x-y = 2 x+2y = 3

Check whether the following equations are consistent or inconsistent. 2x+y = 5, 3x+4y= 6

Check whether the following equations are consistent or inconsistent. 4x+6y = 9,2x+3y = 5

Check whether the following equations are consistent or inconsistent. x-2y = 8 5x-10y = 10

Check whether the following equations are consistent or inconsistent. 2x+3y = 19 4x-3y = 11

Check whether the following equations are consistent or inconsistent. x+3y+6 = 0 2x+6y+12 = 0