Home
Class 9
MATHS
Find the quantity by which the the equat...

Find the quantity by which the the equation `(a+b)(x+y)=a^(2)+b^(2)` should be multiplied so that after adding the result of the multiplication to the equation `(a-b)x+(a+b)y=a^(2)-2ab-b^(2)`, the variable x will be eliminated.

Text Solution

Verified by Experts

The correct Answer is:
`(b-a)/(a+b)`
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

The number by which the equation (x+a)/a=(y+b)/b should be multiplied so that after adding the result of the multiplication to the equation ax-by=a^(2)-b^(2) the variable y will be eliminated, is

The constant term, by which the equation ax+by=c should be multiplied so that after subtracting the result of the multiplication from the equation a^(2)x+b^(2)y=c^(2) the co-efficients of the variable x will be eliminated, is

The quantities, by which the equation px+qy=1 " and " qx+py=(a+b)^(2)/(a^(2)+b^(2))-1 should be multiplied so that after adding the results of the multiplication the variable x will be eliminated, are

The number, by which the equation 7x-5y+2=0 should be multiplied so that after adding the result of the multiplication to the equation 2x+15y+3=0, the co-efficients of the variable y in both the equation will be eliminated is

Solve the equations : x^(2)+2bx-b^(2)=a^(2)-b(b-2x)

Solve the equations : (1)/(a-b){a^(2)(x-b)-b^(2)(x-a)}=x^(2)

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

The roots of the equation a(b-2c)x^(2)+b(c-2a)x+c(a-2b)=0 are, when ab+bc+ca=0

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

CALCUTTA BOOK HOUSE-LINEAR EQUATIONS-EXERCISE - 4.2
  1. If x of the equation x/3+y/2=8 is expressed in term of y we get,

    Text Solution

    |

  2. Solve the simultaneous linear equation in two variables px+qy+r=0 and ...

    Text Solution

    |

  3. Find the quantity by which the the equation (a+b)(x+y)=a^(2)+b^(2) sho...

    Text Solution

    |

  4. Eliminate t: x=at^(2), y=2at

    Text Solution

    |

  5. Prove that x+y=5 when 101x+99y=499 and 99x+101y=501.

    Text Solution

    |

  6. Express y of the equation (xy)/(x-y)=8 in term of x.

    Text Solution

    |

  7. If y=(ax+b)/(cx+d), then express x in term of y.

    Text Solution

    |

  8. Determine the value of y by eliminating x from the simultaneous linear...

    Text Solution

    |

  9. Determine the value of x by substituting y=2/(5x+3) in the equation 2x...

    Text Solution

    |

  10. Find the value of y by substituting x=(by+a^(2)-b^(2))/(a) in the equa...

    Text Solution

    |

  11. Find the value of y if x=y/(1-9y) " and " x=(-y)/(1-5y).

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |