For what value of K the system of linear equations 2x +ky = 1 ; 3x - 5y = 7 has a unique solutios

K \neq - \frac{10}{3}

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K \neq \frac{10}{3}

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K \neq - 35

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K - \frac{10}{3}

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Solution

The correct option is A $K \neq - \frac{10}{3}$
The equations will have unique solutions only if they are not parallel.
This means, their slopes should not be equal.
$=> - \frac{2}{k} \neq - \frac{3}{- 5}$
$=> K \neq - \frac{10}{3}$

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Similar questions

x - 2 y = 3 and 3 x + k y = 1

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

$k x + 3 y = (k - 3), 12 x + k y = k .$

(k - 3) x + 3 y = k; k x + k y = 12

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x - 2 y = 3

3 x + k y = 1

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2 x + k y = 1

3 x - 5 y = 7

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