Home
Class 12
MATHS
Solve the following equations by the met...

Solve the following equations by the method of reduction
`2x-y+z=1, x+2y+3x=8, 3x+y-4z=1.`

A

`x=0, y=5, z=2`

B

`x=3, y=1, z=-2`

C

`x=1, y=2, z=1`

D

`x=2, y=-1, z=5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos

  • MHT-CET 2017

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

Solve the following equations by method of reduction x-3y +z=2, 3x + y +z=1, 5x + y + 3z=3

Solve the following equations by reduction method : 2x - y = -2, 3x + 4y = 3

Solve the following equations by the reduction method : x + 3y = 2, 3x + 5y = 4 .

Solve the following equations by reduction method : x + y = 2, 3x + 2y = 5

Solve the following equations by using reduction method : 2x - y + z = 1, x + 2y + 3z = 8, 3x + y - 4z = 1 .

Solve the following equations by the invers method : x + y + z = - 1, x - y + z = 2, x + y - z = 3 .

Express the following equations in the matrix from and solve them by method of reduction : 2x-y+z=1, x+2y+3z=8, 3x+y-4z=1

Solve the following equations by reduction method : x - y + z = 4, 2x + y - 3z = 0 , x + y + z = 2

Solve the following equations by matrix method.2x+y+z=1,x-2y-3z=1 and 3x+2y+4z=5

Solve the following equations by matrix method.x+y+2z=4,x+2y+z=1 and x+y+z=2

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. If A=[[1, 2, 3], [1, -2, -3]], B=[[1, -1], [1, 2], [1, -1]], then

    Text Solution

    |

  2. If A=[[2, 2], [-3, 2]] and B=[[0, -1], [1, 0]], then (B^(-1)A^(-1))^(-...

    Text Solution

    |

  3. If A=[[2, 2], [-3, 2]] and B=[[0, -1], [1, 0]], then (B^(-1)A^(-1))^(-...

    Text Solution

    |

  4. If A=[[4, 1], [2, 3]] and B=[[2, 1], [0, -2]], then (AB)^(-1)=

    Text Solution

    |

  5. If A=[[2, 3], [1, 2]], B=[[3, 1], [0, 3]] then B^(-1)A^(-1)=

    Text Solution

    |

  6. If A=[[2, 3], [7, 11]], B=[[1, 0], [3, 1]] then (AB)^(-1)=

    Text Solution

    |

  7. If F(alpha)=[(cosalpha, -sinalpha,0),(sinalpha, cosalpha, 0),(0,0,1)] ...

    Text Solution

    |

  8. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

    Text Solution

    |

  9. Equations x + y = 2, 2x + 2y = 3 will have

    Text Solution

    |

  10. If [(x-y-z),(-y+z),(z)]=[(0),(5),(3)] then the values of x,y and z are...

    Text Solution

    |

  11. If [[1, 1, 1], [1, -2, -2], [1, 3, 1]][[x], [y], [z]]=[[0], [3], [4]],...

    Text Solution

    |

  12. If A=[[1, -1, -2], [2, 1, 1], [4, -1, 2]], B=[[3], [5], [11]], X=[[x],...

    Text Solution

    |

  13. If [[x], [y], [z]]=(1)/(40)[[5, 10, -5], [-5, -2, 13], [10, -4, 6]][[5...

    Text Solution

    |

  14. The values of x, y, z for the equations x+y+z=1, 2x+3y+2z=2, ax+ay+2az...

    Text Solution

    |

  15. The values of x, y, z for the equations 5x-y+4z=5, 2x+3y+5z=2, 5x-2y+6...

    Text Solution

    |

  16. The values of x, y, z for the equations x-y+z=1, 2x-y=1, 3x+3y-4z=2 ar...

    Text Solution

    |

  17. The values of x, y, z for the equations x+y+z=6, 3x-y+2z=7, 5x+5y-4z=3...

    Text Solution

    |

  18. Solve the following equations by the method of reduction 2x-y+z=1, x...

    Text Solution

    |

  19. If the inverse of the matriix [(alpha,14,-1),(2,3,1),(6,2,3)] does not...

    Text Solution

    |

  20. if A=[[2,-3],[-4,1]] then (3A^2+12A)=?

    Text Solution

    |