Home
Class 10
MATHS
Show that the system of equations. ...

Show that the system of equations.
` " " 2 x - 3y = 5, 6x - 9y = 15`.
has an infinite number of solutions.

Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3E|53 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3F|21 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3C|13 Videos

  • HEIGHTS AND DISTANCES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|25 Videos

  • MEAN,MEDAN,MODE OF GROUPED,DATA CUMULATIVE FREQUENCY GRAPH AND OGIVE

    RS AGGARWAL|Exercise Test Yourself|18 Videos

Similar Questions

Explore conceptually related problems

The number of real values of alpha for which the system of equations x + 3y + 5z = alpha x 5 x + y + 3z = alpha y 3 x + 5y + z = alpha z has infinite number of solutions is

If the system of equations 2x 3y – z = 5 x alpha y 3z = –4 3x – y beta z = 7 has infinitely many solutions, then 13 alpha beta is equal to

Show that the system of equations " " 6x + 5y = 11, 9x + ( 15) /(2) y = 21 . has no solution

Show that the system of equations 3x - 5y = 7, 6x - 10 y = 3 . has no solution.

The system of linear equations x - 2y + z = 4 2x + 3y - 4z = 1 x - 9y + (2a + 3)z = 5a + 1 has infinitely many solution for:

Evaluate for what value of k the system of equations 2x - y = 5 and 6x + ky = 15 has infinitely many solutions.

Show that the system of equations 2x + 5y = 17, 5x + 3y = 14 has a unique solution. Find the solution.

Show that the system of equations 4 x + 6y = 7, 12 x + 18 y = 21 has infinitely many solutions.

Show graphically that the system of equations 2x + 4y = 10 and 3x + 6y = 12 has no solution.

RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3D
  1. Find the value of k for which the following system of equations has...

    Text Solution

    |

  2. {:(kx + 3y = k - 3),(12x + ky = k):}

    Text Solution

    |

  3. Show that the system of equations. " " 2 x - 3y = ...

    Text Solution

    |

  4. Show that the system of equations " " 6x + 5y = 11, ...

    Text Solution

    |

  5. For what value of k does the system of equations " " kx ...

    Text Solution

    |

  6. For what value of k , will the system of equations x+2y=5,\ \ \ \ 3...

    Text Solution

    |

  7. For what value of k does the system of equations " ...

    Text Solution

    |

  8. For what value of k does the system of linear equations 2x+3y=7 ...

    Text Solution

    |

  9. {:(2x + (k - 2)y = k),(6x + (2k - 1) y = 2k + 5):}

    Text Solution

    |

  10. Find the value of k for which following system of equations have in...

    Text Solution

    |

  11. Find the value of k for infinite solutions: 5x + 2y = 2k, 2 ...

    Text Solution

    |

  12. ( k - 1 ) x - y = 5, (k + 1 ) x + ( 1 - k ) y = ( 3k + 1 )

    Text Solution

    |

  13. {:((k - 3)x + 3y = k),(kx + ky = 12):}

    Text Solution

    |

  14. (a - 1) x + 3y = 2, 6x + (1 - 2b) y =6.

    Text Solution

    |

  15. {:((2a - 1)x + 3y - 5 = 0),(3x + (b - 1) y - 2 = 0):}

    Text Solution

    |

  16. If 2x - 3y = 7 and (a+b)x- (a+b-3)y = 4a + b represent coincident lin...

    Text Solution

    |

  17. Find the values of a and b for which the following system of linear eq...

    Text Solution

    |

  18. 2x + 3y =7, (a + b ) x + ( 2a - b ) y = 21.

    Text Solution

    |

  19. If the system of equations 2x + 3y = 7 and 2ax + (a + b) y = 28 has in...

    Text Solution

    |

  20. 8x + 5y = 9 , kx + 10 y = 15.

    Text Solution

    |