Question

Find the value of k so that the following system of equation has a non zero solution 3 X + 5 Y equal to zero and K X + 10 Y equal to zero

Answer 1

here is your answer by Sujeet yaduvanshi,

Given that,
3x+5y=o
Kx+10y=0

For Non zeroes, we must be have
a1/a2=b1/b2
3/k=5/10
5k=10*3
5k=30
k=30/5
k=6

that's all

Answer 2

Answer:

Step-by-step explanation:

The given system is

3x + 5y = 0 ……(i)

kx + 10y = 0 ……(ii)

This is a homogeneous system of linear differential equation, so it always has a zero solution i.e., x = y = 0.

But to have a non-zero solution, it must have infinitely many solutions. For this, we have non zero-solutions

Please refer the attachment for the remaining solution

Hope it helps you

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