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If the system of equations 6x + 2y = 3 a...

If the system of equations `6x + 2y = 3` and `kx + y = 2` has a unique solution, find the value of `k`.

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Knowledge Check

  • Value of k for which system of equations kx + 2y = 5, 3x + y =1 has unique solution is

    A
    `k =1 `
    B
    `k =2 `
    C
    `k =3`
    D
    all are true

  • The system kx - y = 2 and 6x - 2y = 3 has a unique solution only when

    A
    ` k = 0 `
    B
    ` k ne 0 `
    C
    ` k =3 `
    D
    ` k ne 3 `

  • The value of k for which the system of equations 2x - 3y =1 and kx + 5y = 7 have a unique solution, is

    A
    `K ne 1 `
    B
    `k ne 10`
    C
    `k ne (-10)/(3)`
    D
    any real value of k

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    For what value of k does the system of equations " " kx + 2y = 5, 3x - 4y = 10 have (i) a unique solution, (ii)no solution ?

    Find the values(s) of k for which the system of equations kx-y=26x-2y=3 has ( i )a unique solution (ii) no solution.Is there a value of k for which the system has infinitely many solutions?

    For what value of K, the pair of equations 2x - 3y = 1 and kx + 5y = 7 has a unique solution?

    The values of x,y,z in order, if the system of equations 3x+y+2z=3, 2x-3y-z=-3 and x+2y+z=4 has unique solution, are

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