Home
Class 8
MATHS
For the system of equation 3x + y =1, x ...

For the system of equation `3x + y =1, x - 2y =5 and x-y + 3z +3 =0`, the value of z is

A

0

B

2

C

-2

D

-6

Text Solution

Verified by Experts

The correct Answer is:
C

(i) Solve the first two equations, to get the values of x and y.
(ii) Substitute x and y values in third equation and get the values of z.
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS AND INEQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 2|17 Videos
  • LINEAR EQUATIONS AND INEQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|9 Videos
  • LINEAR EQUATIONS AND INEQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise ESSAY TYPE QUESTIONS|5 Videos
  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (Level 3)|7 Videos
  • MATRICES

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application Level -2|15 Videos

Similar Questions

Explore conceptually related problems

For the system of equations 3x+y=1,x-2y=5 and x-y+3z+3=0, the value of z is

The system of equation 2x+y-3z=5 3x-2y+2z=5 and 5x-3y-z=16

The system of equation 2x + y - 3z = 5 3x-2y+2z=5 and 5x-3y-z=16

Solve the system of equations 2x+3y-3z=0 , 3x-3y+z=0 and 3x-2y-3z=0

The system of equation 2x + y - 3z = 5 3x - 2y + 2z = 5 5x - 3y - z = 16

The values of lambda and mu such that the system of equations x + y + z = 6, 3x + 5y + 5z = 26, x + 2y + lambda z = mu has no solution, are :

PEARSON IIT JEE FOUNDATION-LINEAR EQUATIONS AND INEQUATIONS -LEVEL 1
  1. The value of x which satisfies the equation (2)/(3x-2) = (3)/(x-6) is

    Text Solution

    |

  2. Kiranmai pays ₹ 50 to shopkeeper in the denominations of one rupee coi...

    Text Solution

    |

  3. For the system of equation 3x + y =1, x - 2y =5 and x-y + 3z +3 =0, t...

    Text Solution

    |

  4. The sum of the digits of a two-digit number is 9. If 27 is subtracted ...

    Text Solution

    |

  5. The equation (1/x) + (1/y) = 15, and (1/x) – (1/y)= 5 are such that a...

    Text Solution

    |

  6. Ravi's age now is (1)/(5) th of his father's age. After 20 years if hi...

    Text Solution

    |

  7. For the system of equations 5x - 3y =k and 10 x - 6y = 12 to be incons...

    Text Solution

    |

  8. If (2x+1)/(x) lt 2, then what is the range of x ?

    Text Solution

    |

  9. If (3)/(x-4) lt 0, then what is the range of x ?

    Text Solution

    |

  10. Find the values of x and y, which satisfies the simultaneous equation...

    Text Solution

    |

  11. The least values of x which satisfies the inequation -3 le (4x-3)/(5)...

    Text Solution

    |

  12. The least integral value of x that satisfies 2x + 4 + 3(x-5) gt 7 is

    Text Solution

    |

  13. The least positive integer x, which satisfies |x-2| gt 7 ?

    Text Solution

    |

  14. Find the solution set of 7x -3 ge -24 and -11x + 10 ge -12.

    Text Solution

    |

  15. The number of integral values in the solution set ofthe inequation |x ...

    Text Solution

    |

  16. Find the greater values of x which satisfies the inequation 2 le (11...

    Text Solution

    |

  17. If 5|x| + 4|y| = 4 and 2|x| - 4|y| =10, then find x and y.

    Text Solution

    |

  18. The present age of a father and that of his son are in the ratio 7:1. ...

    Text Solution

    |

  19. The following sentences are the steps involved in solving 4-3x lt 5. ...

    Text Solution

    |

  20. The length of a rectangle is 5 m more than its breadth and its perimet...

    Text Solution

    |