Find the value of k, if $x = - 1$ and $y = 2$ is a solution of the equation $4 x - k y = 10.$

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Solution

Given equation is $4 x - k y = 10$ --------(1)

also given that $x = - 1$ ------(2)

and $y = 2$ ------(3)

substituting (2) and (3) in (1) we get

$4 (- 1) - k (2) = 10$

$⟹ - 4 - 2 k = 10$

$⟹ 2 k = - 10 - 4$

$⟹ 2 k = - 14$

$⟹ k = \frac{- 14}{2}$

$⟹ k = - 7$

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