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

Solve the following simultaneous linear equations in two linear variables by the method of cross-multiplication :
`x+y=2b, x-y=2a`

Text Solution

Verified by Experts

The correct Answer is:
The required solution is
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 4.1|30 Videos

  • LINEAR EQUATIONS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 4.2|77 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 linear variables by the method of cross-multiplication : x/a+y/b=2, ax-by=a^(2)-b^(2)

Solve the following simultaneous linear equations in two linear variables by the method of cross-multiplication : ax+by=1, bx+ay=(2ab)/(a^(2)+b^(2))

Solve the following simultaneous linear equations in two linear variables by the method of cross-multiplication : x+5y=36, (x+y)/(x-y)=5/3

Solve the following simultaneous linear equations in two linear variables by the method of cross-multiplication : x/5+y/3=x/4-y/3-3/20=0

Solve the following simultaneous linear equations in two variables by the method of cross-multiplication : 4x-3y=9 3x-4y=5

Solve the following simultaneous linear equations in two linear variables by the method of cross-multiplication : (x+2)/7+(y-x)/4=2x-8, (2y-3x)/3+2y=3x+4

Solve the following simultaneous linear equations in two variables by the method of cross-multiplication : 2x+y=15 2y-3x=16

Solve the following simultaneous linear equations in two variables by the method of cross-multiplication : 3x-4y=1 4x=3y+6

Solve the following simultaneous linear equations in two variables by the method of cross-multiplication : 8x+5y=11 3x-4y=10

Solve the following simultaneous linear equations in two variables by the method of cross-multiplication : 3x+2y-6=0 2x+3y-6=0

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

    Text Solution

    |

  2. The least natural numbers, by which the equations 4x-3y=16 and 6x+5y=6...

    Text Solution

    |

  3. The least natural numbers, by which the equation 2x+3y=11 and 3x-4y=8 ...

    Text Solution

    |

  4. The number, by which the equation 7x-5y+2=0 should be multiplied so th...

    Text Solution

    |

  5. The constant term, by which the equation ax+by=c should be multiplied...

    Text Solution

    |

  6. The number by which the equation (x+a)/a=(y+b)/b should be multiplied ...

    Text Solution

    |

  7. The quantities, by which the equation px+qy=1 " and " qx+py=(a+b)^(2)/...

    Text Solution

    |

  8. If x of the equation x/3+y/2=8 is expressed in term of y we get,

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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

    |

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

    Text Solution

    |