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For which of the following value(s) of k...

For which of the following value(s) of k are the equations `2x + 3y= 12` and `6x + ky= 36` consistent?

A

8

B

6

C

9

D

3

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Knowledge Check

  • For what value of k, the system of equations 4x + 6y = 11 and 2x + ky = 7 will be inconsistent?

    A
    k = 3
    B
    k = 4
    C
    no value of k is possible
    D
    k can have any real value

  • For what values of k is the system of equations k x + 3y = k - 2 12 x + ky = k inconsistent ?

    A
    `k =pm 6`
    B
    `k = -6` only
    C
    `k = 6` only
    D
    none of these

  • For what value of k, do the equations 3x - y + 8 = 0 and 6x - ky = -16 represent coincident lines ?

    A
    `(1)/(2)`
    B
    `-(1)/(2)`
    C
    `2`
    D
    `- 2`

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    Explore conceptually related problems

    For what value of k, the system of equations 3x - 2y = 5 and 6x - ky = 8 has no unique solution?

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    For what value of k, the system of equations x - 3y = 5 and 2x - ky = 10 has at most one solution?

    For which value (s) of k will the pair of equations kx + 3y = k - 3 , 12x + ky = k has no solution ?

    For what value of k the equations 2x+ky=5 and 3x-3y=6 have unique solution?

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