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Question

Find the value of k for which the system has (i) a unique solution, and (ii) no solution.

kx + 2y = 5
3x + y = 1

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Solution

GIVEN:

To find: To determine for what value of k the system of equation has

(1) Unique solution

(2) No solution

We know that the system of equations

(1) For Unique solution

Here,

Hence for the system of equation has unique solution.

(2) For no solution

Hence for the system of equation has no solution


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