Home
Class 10
MATHS
In each of the following systems of equa...

In each of the following systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it.
(1) `2x+3y=7` , `6x+5y=11`
(2) `6x+5y=11` , `9x+(15)/2y=21`
(3) `-3x+4y=5` , `9/2x-6y+(15)/2=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos

  • POLYNOMIAL

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

In the following system of equations determine whether it has unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it: 3x-5y=20 ,\ \ \ 6x-10 y=40

In the following system of equations determine whether it has unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it: x-3y=3,\ \ \ \ 3x-9y=2

In the following system of equations determine whether it has unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it: 2x+y=5,\ \ \ \ 4x+2y=10

In the following system of equations determine whether it has unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it: x-2y=8,\ \ \ \ 5x-10 y=10

Determine if given system has unique solution, no solution or infinite solutions {:(x - 2y = 8),(5x - 10y = 10):}

Check whether the given system of equations has Unique solution, No solution or Infinite solutions: {:(x - 3y = 3),(3x - 9y = 2):}

Find the value of k for which the system k x+2y=5 3x+y=1 has (i) a unique solution, and (ii) no solution.

For the following system of equations determine the value of k for which the given system of equations has a unique solution: 2x-3y=1,\ \ \ \ k x+5y=7

For the following system of equations determine the value of k for which the given system of equations has a unique solution: x-k y=2,\ \ \ \ 3x+2y=-5

For the following system of equations determine the value of k for which the given system of equations has a unique solution: 2x+k y=1,\ \ \ \ 5x-7y=5