Find the value of k for which the system 3x + 5 = 0, kx + 10y = 0 has a nonzero solution.

The given two equations are:

3x + 5y = 0 …(i)


kx + 10y = 0 …(ii)


The given equation is a homogenous system of linear differential equation so it always has a zero solution


We know that, for having a non – zero solution it must have infinitely many solutions




k = 6


Hence, the value of k is 6


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