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Find the value of k for which the system of equations 5x - 3y = 0, 2x + ky = 0 has a non-zero solution.

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Find the value of k for which the system of equations 

5x - 3y = 0, 2x + ky = 0 has a non-zero solution.

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1 Answer

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Best answer

The given system of equations: 

5x - 3y = 0 ….(i) 

2x + ky = 0 ….(ii) 

These equations are of the following form:

 a1x+b1y+c1 = 0, a2x+b2y+c2 = 0 

where, a1 = 5, b1= -3, c1 = 0 and a2 = 2, b2 = k, c2 = 0 

For a non-zero solution, we must have: 

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