Home
Class 8
MATHS
If 2x+3y=14\ a n d\ 2x-3y=2, find the va...

If `2x+3y=14\ a n d\ 2x-3y=2,` find the value of `x y` . [Hint use `(2x+3y)^2-(2x-3y)^2=24 x y]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPOUND INTEREST

    RD SHARMA ENGLISH|Exercise All Questions|130 Videos

Similar Questions

Explore conceptually related problems

"(2x+3y)^3-(2x-3y)^3

If 2x+3y=13 and x y=6 , find the value of 8x^3+27 y^3

If 2x+3y=13 and x y=6, find the value of 8x^3+27 y^3

If x+y=12\ a n d\ x y=14 , find the value of x^2+y^2dot

If 2x+3y=8 and x y=2 , find the value of 4x^2+9y^2

If 2x+3y=13 and x y=6 , find the value of 8x^3+27\ y^3

If x=2 and y=5 find the values of : 2x+3y

If 2x-3y=7 and y=3 , then what is the value of x?

If 2x + y = 23 and 4x - y = 19, find the values of x - 3y and 5y - 2x.

RD SHARMA ENGLISH-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
  1. If x-y=7\ a n d\ x y=9, find the value of x^2+y^2

    Text Solution

    |

  2. If 3x+5y=11\ a n d\ x y=2, find the value of 9x^2+25 y^2

    Text Solution

    |

  3. Find the values of the following expressions: 16 x^2+24+9\ ,\ w h e ...

    Text Solution

    |

  4. If x+1/x=9. find the value of x^4+1/(x^4)dot

    Text Solution

    |

  5. If x+1/x=12 , find the value of x-1/xdot

    Text Solution

    |

  6. If 2x+3y=14\ a n d\ 2x-3y=2, find the value of x y . [Hint use (2x+3y...

    Text Solution

    |

  7. If x^2+y^2=29\ a n d\ x y=2, find the value of (i)x+y (ii) x-y

    Text Solution

    |

  8. What must be added to each of the following expressions to make it ...

    Text Solution

    |

  9. Simplify: (i)(x-y)(x+y)x^2+y^2)\ (x^4+y^4) (ii)(2x-1)\ (2x+1)(4x^2...

    Text Solution

    |

  10. Simplify: (m^2-n^2m)^2+2m^3n^2

    Text Solution

    |

  11. Show that : (3x+7)^2-84 x=(3x-7)^2 ...

    Text Solution

    |

  12. Show that : (4p q+3q)^2-(4q p-3q)^2=48 p q^2 (a-b)(a+b)+(b-c)(b+c)...

    Text Solution

    |

  13. Find the following products: (i) (x+2)(x+3) (ii)(x+7)(x-2) (iii...

    Text Solution

    |

  14. Evaluate the following : 107\ X\ 103 (ii) 56\ X\ 48 (iii) 95\ X\ 97

    Text Solution

    |

  15. Find the following products: (i)(x+4)(x+7) (ii) (x-11)(x+4) (iii)...

    Text Solution

    |

  16. Find the following products: (i)(y^2-4)(y^2-3) (ii) (x+4/3)(x+3/4) ...

    Text Solution

    |

  17. Find the following products: (i)(z^2+2)(z^2-3) (ii) (3x-4y)(2x-4y) ...

    Text Solution

    |

  18. Find the following products: (z+3/4)(z+4/3) (ii) (x^2+4)(x^2+9) (y^...

    Text Solution

    |

  19. Evaluate the following : 102\ xx\ 106 (ii) 109\ xx\ 107 (iii)35\ xx\...

    Text Solution

    |

  20. Evaluate the following : 104\ xx\ 96 (ii) 34\ xx\ 36 (iii) 994\ xx\ ...

    Text Solution

    |