Home
Class 10
MATHS
Solve the following system of linear equ...

Solve the following system of linear equations (with rational denominator) by using the method of elimination :
`sqrt(3)x - sqrt(2)y = sqrt (3)` and sqrt(5)x + sqrt(3)y = sqrt(2)`.

Text Solution

Verified by Experts

The correct Answer is:
`x = 5(sqrt(10)-3), y = 5sqrt(15) - 8 sqrt(6)`
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3c|15 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3d|35 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3A|8 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos

  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

{:(sqrt(5)x - sqrt(7)y = 0),(sqrt(7)x - sqrt(3)y = 0):}

Solve sqrt(3x)-sqrt(x)=2 .

Solve the equation: sqrt(3)x^2-sqrt(2)x+3sqrt(3)= 0

Solve the equation: sqrt(3)x^2-sqrt(2)x+3sqrt(3)=" "0

Solve by factorization: sqrt(3)x^2-2sqrt(2)x-2sqrt(3)=0

Solve the equation sqrt(3)x^(2)-sqrt(2)x+3sqrt(3)=0

If 5-sqrt(3)=x+y sqrt(3) then (x,y) is

The graph of straight line y = sqrt(3)x + 2sqrt(3) is :

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(3)) =

Solve the following system of equations: sqrt(2)x-sqrt(3)y=0,\ \ \ \ sqrt(3)x-sqrt(8)y=0

NAGEEN PRAKASHAN ENGLISH-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3b
  1. {:((x)/(2) + y = 0.8),((7)/(x + (y)/(2)) = 10):}

    Text Solution

    |

  2. {:((15)/(x) + (2)/(y) = 17),((1)/(x) + (1)/(y)= (36)/(5)):}

    Text Solution

    |

  3. 1/16x+1/15y=9/20; 1/20x-1/27y=4/45

    Text Solution

    |

  4. {:((10)/(x + y) - (4)/(x - y)= -2),((15)/(x + y) + (7)/(x - y) = 10):}

    Text Solution

    |

  5. {:(2x + y = (7xy)/(3)),(x + 3y = (11xy)/(3)):}

    Text Solution

    |

  6. Solve the following system of equations: 1/(2(x+2y))+5/(3(3x-2y))=(...

    Text Solution

    |

  7. {:((4)/(x) + 3y = 14),((3)/(x) - 4y = 23):}

    Text Solution

    |

  8. {:((5)/(x - 1) + (1)/(y - 2) = 2),((6)/(x - 1) - (3)/(y - 2) = 1):}

    Text Solution

    |

  9. {:((2)/(sqrt(x))+ (3)/(sqrt(y)) = 2),((4)/(sqrt(x))-(9)/(sqrt(y)) = -1...

    Text Solution

    |

  10. Solve the following system of equations: 2(3u-v)=5u v ,\ \ \ \ 2(u+...

    Text Solution

    |

  11. {:(65x - 33y = 97),(33x - 65y = 1):}

    Text Solution

    |

  12. Solve {:(13x + 11y = 70),(11x + 13y = 74):}

    Text Solution

    |

  13. Solve for x and y {:(217x + 131y = 913),(131x + 217y = 827):}

    Text Solution

    |

  14. {:(152x - 378y = -74),(-378x + 152y = -604):}

    Text Solution

    |

  15. {:(x + y = a + b),(ax - by = a^(2) - b^(2)):}

    Text Solution

    |

  16. Solve: x/a+y/b=a+b x/(a^2)+y/(b^2)=2

    Text Solution

    |

  17. Solve the following system of linear equations (with rational denomina...

    Text Solution

    |

  18. Solve for x and y, (1)/(2x) - (1)/(y) = - 1 and (1)/(x) + (1)/(2y) ...

    Text Solution

    |

  19. Solve the following system of equations: (7x-2y)/(x y)=5,\ \ \ (8x+...

    Text Solution

    |

  20. Solve for (x - 1)^(2) and (y + 3)^(2), 2x^(2) - 5y^(2) - x - 27...

    Text Solution

    |