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The linear equation 7x+9y=8 has a uniqu...

The linear equation 7x+9y=8 has a unique solutions

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Find whether the following pair of linear equations has a unique solution. If yes, find the solution. 7x-4y =49 and 5x-6y=57

Draw the graphs of 2y=4x-6 and 2x=y+3 and determine whether this system of linear equations has a unique solution or not.

Knowledge Check

  • The linear equation 2x-5y=7 has

    A
    a unique solution
    B
    two solutions
    C
    infinitely many solutions
    D
    no solution
  • Obtain the condition for the following system of linear equations to has a unique solution px + qy = r and lx + my = n .

    A
    pm = ql
    B
    pm - ql = 0
    C
    pm `ne` ql
    D
    none of these
  • A pair of linear equations which has a unique solution x = 2 and y = -3 is

    A
    `x + y = 1 and 2x - 3y = -5`
    B
    `2x + 5y = -11 and 4x + 10y= -22`
    C
    `2x - y =1 and 3x + 2y = 0`
    D
    `x - 4y - 14 = 0 and 5x - y - 13 = 0`
  • Similar Questions

    Explore conceptually related problems

    Determine,by drawing graphs,whether the following system of linear equations has a unique solution or not: 2x-3y=6,quad x+y=1

    Determine,by drawing graphs,whether the following system of linear equations has a unique solution or not: 2y=4x-6,quad 2x=y+3

    Write a pair of linear equations which has the unique solution x=-1,y=3

    Write a pair of linear equations which has the unique solution x = 3 , y = -2 . How many such pairs can you write ?

    The equation 2x+5y=7 has a unique solution, if x and y are