Question

3. For what value of k, the system of equations
3x + 5y = 0, kx + 10y = 0 has a non-zero solution?

Answer 1

Step-by-step explanation:Marks me brainliest please

• 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. Hence, k = 6.