Home
Class 12
MATHS
Show that each of the following syste...

Show that each of the following systems of linear equations is consistent and also find their solutions: `6x+4y=2` `9x+6y=3` `2x+3y=5` `6x+9y=15` `5x+3y+7z=4` `3x+26 y+2z=9` `7x+2y+10 z=5` `x-y+z=3` `2x+y-z=2` `-x-2y+2z=1` `x+y+z=6` `x+2y+3z=14` `x+4y+7z=30` `2x+2y-2z=1` `4x+4y-z=2` `6x+6y+2z=3`

Promotional Banner

Topper's Solved these Questions

  • SCALAR TRIPLE PRODUCT

    RD SHARMA|Exercise Solved Examples And Exercises|59 Videos

  • STRAIGHT LINE IN SPACE

    RD SHARMA|Exercise Solved Examples And Exercises|134 Videos

Similar Questions

Explore conceptually related problems

Show that the following systems of linear equations are inconsistent: 3x-y+2z=6,\ \ 2x-y+z=2,\ \ 3x+6y+5z=20.

Classify the following system of equations as consistent or inconsistent : {:(5x-6y+4z=15),(7x+4y-3z=19),(2x+y+z=46):}

Classify the following system of equations as consistent or inconsistent. If consistent, then solve them : x+y+4z=6 , 3x+2y-2z=9 , 5x+y+2z=13

Solve the following simultaneous linear equations by using matrix inversion method x+y+z=1 2x+2y+3z=6 x+4y+9z=3

Solve the following systems of linear homogenous equations : 3x+2y+7z=0 , 4x-3y-2z=0 and 5x+9y+23z=0

Solve the following system of linear equations by Cramers rule: 6x+y-3z=5,\ \ x+3y-2z=5,\ \ 2x+y+4z=8

Solve system of linear equations, using matrix method, in questions 7 to 14. x-y+2z=7, 3x+4y-5z=-5, 2x-y+3z=12

Show that each of the following pairs of planes are at right angles: i) 3x+4y-5z=7 and 2x+6y+6z+7=0 ii) x-2y+4z=10 and 18x+17y+4z=49

4x -5y-11z=12,. x-3y+z=1 2x + 3y-7z = 2

x+y+z=4 2x-y+z=-1 2x+y-3z=-9

RD SHARMA-SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS-Solved Examples And Exercises
  1. Using matrix method, solve the following system of equations: 2/x+...

    Text Solution

    |

  2. Using matrices, solve the following system of linear equations: x\...

    Text Solution

    |

  3. Show that each of the following systems of linear equations is cons...

    Text Solution

    |

  4. Show that the following system of equations is consistent. x-y+z=3,2x+...

    Text Solution

    |

  5. Show that following system of linear equations is inconsistent: 2x+...

    Text Solution

    |

  6. Show that following system of linear equations is inconsistent: 2x+...

    Text Solution

    |

  7. Use matrix method to examine the following system of equations for con...

    Text Solution

    |

  8. Show that following system of linear equations is inconsistent: 4x-...

    Text Solution

    |

  9. Show that following system of linear equations is inconsistent: 3x-...

    Text Solution

    |

  10. Show that following system of linear equations is inconsistent: x+y...

    Text Solution

    |

  11. If A\|(1,2,0),(-2,-1,-2),(0,-1,1)|, then find the value of A^(-1) Us...

    Text Solution

    |

  12. If A=|(2,2,-4),(-4,2,-4),(2,-1,5)| and B=|(1,-1,0),(2,3,4),(0,1,2)| th...

    Text Solution

    |

  13. A school wants to award its students for the value of honesty, regular...

    Text Solution

    |

  14. Two schools P and Q want to award their selected students on the va...

    Text Solution

    |

  15. Two schools P and Q want to award their selected students on the value...

    Text Solution

    |

  16. A shopkeeper has 3 varieties of pens ' A^(prime),\ ' B ' and ' C '. M...

    Text Solution

    |

  17. Solve the following system of homogeneous equations: 2x+3y-z=0 x-y-2z...

    Text Solution

    |

  18. Find the solution of homogeneous system of equations: x -2y +z =0; x +...

    Text Solution

    |

  19. Solve the following system of homogeneous linear equations by matrix...

    Text Solution

    |

  20. Solve the following system of homogeneous linear equations by matri...

    Text Solution

    |