Q. 163.8( 5 Votes )

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

Class 10th RS Aggarwal - Mathematics 3. Linear Equations in Two Variables

Answer :

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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