Home
Class 9
MATHS
Solve the following simultaneous linear ...

Solve the following simultaneous linear equations in two variables by the method of subsitution :
`ax+by=c^(2)`
`a^(2)x+b^(2)y=c^(2)`

Text Solution

Verified by Experts

The correct Answer is:
`x=(c^(2)-bc^(2))/(a^(2)-bc), y=(ac^(2)-c^(2))/(ab-b^(2))`
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 4.1|30 Videos
  • LAWS OF INDICES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 6|67 Videos
  • LINEAR EQUATIONS IN REAL PROBLEMS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-5|31 Videos

Similar Questions

Explore conceptually related problems

Solve the following simultaneous linear equations in two variables by the method of subsitution : x+y=a+b ax-by=a^(2)-b^(2)

Solve the following simultaneous linear equations in two variables by the method of subsitution : 5x+3y=11 2x-7y=-12

Solve the following simultaneous linear equations in two variables by the method of subsitution : 2x+5/y=29 8x-3/y=1

Solve the following simultaneous linear equations in two variables by the method of subsitution : x/2+y/3=2 x/4+y/2=2

Solve the following simultaneous linear equations in two variables by the method of subsitution : (x+y)/3=(x-y)/2 12y-x=7

Solve the following simultaneous linear equations in two variables by the method of subsitution : x/3-4/y=2 x/4+6/y=6

Solve the following simultaneous linear equations in two variables by the method of subsitution : 23x+17y=63 17x+23y=57

Solve the following simultaneous linear equations in two variables by the method of elimination ax+by=c bx+ay=1+c

Solve the following simultaneous linear equations in two variables by the method of elimination ax+by=c a^(2)x+b^(2)y=c^(2)

Solve the following simultaneous linear equations in two variables by the method of comparison : x/a=y/b ax+by=a^(2)+b^(2)

CALCUTTA BOOK HOUSE-LINEAR EQUATIONS-EXERCISE - 4.2
  1. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  2. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  3. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  4. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  5. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  6. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  7. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  8. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  9. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  10. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  11. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  12. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  13. Solve the following simultaneous linear equations in two variables by ...

    Text Solution

    |

  14. If ax+by+c=0 " and " a'x+b'y+c'=0, then prove that x/(bc'-b'c)=y/(ca...

    Text Solution

    |

  15. Find the value of y by eliminating x : (x+a)/(2a+b)=(y+2b)/(a+b), bx...

    Text Solution

    |

  16. Solve (by any method) : 101x+99y=499 99x+101y=501

    Text Solution

    |

  17. Solve (by any method) : (x+ab)/a=(y+ab)/b ax+by=a^(3)+b^(3)

    Text Solution

    |

  18. Solve (by any method) : b/(ax)+(ay)/b=a+b a/x+by=a^(2)+b^(2)

    Text Solution

    |

  19. Solve (by any method) : (x+a)/(2a+b)=(y+2b)/(a+b) bx+ay=a^(2)+b^(2...

    Text Solution

    |

  20. Solve (by any method) : (a-b)/x+(a+b)/y=(2(a^(2)+b^(2)))/((a^(2)-b^(...

    Text Solution

    |