MathematicsThe value of k for which the system of equations x + 2y = 5 and 3x + ky + 15 = 0 have no solution is ____.

The value of k for which the system of equations x + 2y = 5 and 3x + ky + 15 = 0 have no solution is ____.


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    Solution:

    The value of k for which the system of equations x + 2y = 5 and 3x + ky + 15 = 0 have no solution is 6.
    Given 2 equations x + 2y = 5 and 3x + ky + 15 = 0.
    Simplifying the equations,
    x+2y−5=0 3x+ky+15=0  
    On comparing with standard equations,
    a 1 =1, b 1 =2, c 1 =−5 a 2 =3, b 2 =k, c 2 =15  
    The condition for no solution is,
    Hence, the value of k for no solution is 6.
     
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