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

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

To solve the equations \(2x + 3y = 14\) and \(2x - 3y = 2\) and find the value of \(xy\), we can use the hint provided: \[ (2x + 3y)^2 - (2x - 3y)^2 = 24xy \] ### Step 1: Calculate \((2x + 3y)^2\) and \((2x - 3y)^2\) ...
Promotional Banner

Topper's Solved these Questions

  • COMPOUND INTEREST

    RD SHARMA|Exercise All Questions|129 Videos

Similar Questions

Explore conceptually related problems

If 3x-2y=24 and 2x-3y=18, then find the value of x+y.

If 3x+2y=10 and 2x+3y=15 , find the value of x+y .

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

3x+y=19 and x+3y=1 then find the value of 2x+2y

If 3x + 2y = 10 and 2x + 3y = 15, find the value of x + y.

2x + 3y = 6 sqrt3 and 2x - 3y = 6, find the value of xy ?

If x+2y=3 and 2x +3y=4 , then the values of x and y are

Find the value of x and y- 2x+3y=0 3x+4y=5

If 3x + 5y = 21 and 2x +3y = 13 , then find the values of x and y .

If 2x + 3y = 10 and 3x + 2y = 5 , then value of x +y is ____

RD SHARMA-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 and xy=2, find the value of 9x^2+25 y^2

    Text Solution

    |

  3. Find the values of the following expressions: (i) 16 x^2+24+9 , when...

    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)^2-...

    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 a...

    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 : (i) (3x+7)^2-84 x=(3x-7)^2 (ii) (9a-5b)^2+180 a b=(9a+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Evaluate the following : (i)107 xx 103 (ii) 56xx 48 (iii) 95 xx97

    Text Solution

    |

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

    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: (i)(z+3/4)(z+4/3) (ii) (x^2+4)(x^2+9) ...

    Text Solution

    |

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

    Text Solution

    |

  20. Evaluate the following : (i)103 xx 96 (ii) 34 xx 36 (iii) 994 xx ...

    Text Solution

    |