Find the value of k for which the following system of equations has a unique solution:

$x + 2 y = 3 5 x + k y + 7 = 0$

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Solution

GIVEN:

To find: To determine to value of k for which the system has a unique solution.

We know that the system of equations

For unique solution

Here,

Hence for the system of equation has unique solution

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Similar questions

Find the value for k which each of the following systems of equations has a unique solution:

$x - k y = 2, 3 x + 2 y + 5 = 0.$

x - k y - 2 = 0 3 x + 2 y + 5 = 0

For what value of k, the system of equations $x + 2 y = 5, 3 x + k y + 15 = 0$ has a unique solution?

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k

x - 2 y = 3

3 x + k y = 1

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