Find the value of k, if (1, 3k) lies on the line represented by the equation $k x + 4 y = 26$ .

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Solution

If the point (1, 3k) lies on a line represented by the given equation, then it must satisfy the equation.

On substituting x = 1 and y = 3k in the given equation, we get

$k (1) + 4 (3 k) = 26$

$\Rightarrow 13 k = 26$

$\Rightarrow k = 2$

Thus, the value of k is 2.

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