Home
Class 10
MATHS
If 2x + y = 23 and 4x - y = 19, then fin...

If `2x + y = 23` and `4x - y = 19`, then find the values of `5y - 2x ` and `(y)/(x) - 2`.

Text Solution

AI Generated Solution

To solve the given problem, we need to find the values of \(5y - 2x\) and \(\frac{y}{x} - 2\) using the equations \(2x + y = 23\) and \(4x - y = 19\). ### Step 1: Solve the equations simultaneously. We have: 1. \(2x + y = 23\) (Equation 1) 2. \(4x - y = 19\) (Equation 2) ...
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 3.4 Long Answer Type Questions|13 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 3.2 Very Short Answer Type Questions|6 Videos
  • INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPES QUESTIONS|18 Videos
  • POLYNOMIALS

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|6 Videos

Similar Questions

Explore conceptually related problems

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

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

If 3x+2y=12 and x y=6 , find the value of 9x^2+4y^2

If 4x^2+y^2=40\ and x y=6 , find the value of 2x+y

If 3x+2y=12 and x y=6, find the value of 9x^2+4y^2

If x=2 and y=5 find the values of : 3x-4y

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

If 9x^2+25 y^2=181 and x y=-6, find the value of 3x+5y

If 2^(x) = 4 xx 2^(y) and 9 xx 3^(x) = 3^(-y) , find the values of x and y.

If x+y=4\ a n d\ x y=2, find the values of x^2+y^2

NCERT EXEMPLAR ENGLISH-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-Exercise 3.3 Short Answer Type Questions
  1. For which values of a and b will the following pair of linear equation...

    Text Solution

    |

  2. Find the values of p in (i) to (iv) and p and q in (v) for the followi...

    Text Solution

    |

  3. Two straight paths are represented by the equations x - 3y = 2 and -2...

    Text Solution

    |

  4. Write a pair of linear equations which has the unique solution x = -1 ...

    Text Solution

    |

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

    Text Solution

    |

  6. Find the values of x and y in the following rectangle

    Text Solution

    |

  7. Solve the following pairs of equations (i) x + y = 3.3, " " (0.6)/(...

    Text Solution

    |

  8. Find the solution of the pair of equations (x)/(10) + (y)/(5) - 1 = 0 ...

    Text Solution

    |

  9. By the graphical method, find whether the following pair of equations ...

    Text Solution

    |

  10. Draw the graph of the pair of equations 2x+y=4 and 2x-y=4. Write the v...

    Text Solution

    |

  11. Write an equation of a line passing through the point representing sol...

    Text Solution

    |

  12. If (x+1) is a factor of 2x^(3)+ax^(2)+2bx+1, then find the value of a ...

    Text Solution

    |

  13. If the angles of a triangle are x, y and 40^(@) and the difference bet...

    Text Solution

    |

  14. Two years ago, Salim was thrice as old as his daughter and six years l...

    Text Solution

    |

  15. The age of the father is twice the sum of the ages of his two children...

    Text Solution

    |

  16. Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of th...

    Text Solution

    |

  17. There are some students in the two examination halls A and B. To make ...

    Text Solution

    |

  18. A shopkeeper gives books on rent for reading. She takes a fixed charge...

    Text Solution

    |

  19. In a competitive examination, 1 mark is awarded for each correct answ...

    Text Solution

    |

  20. The angles of a cyclic quadrilateral ABCD are angleA=(6x+10)^(@), angl...

    Text Solution

    |