If (1,3k) lies on kx + 4y = 26, the value of k is ___.

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Solution

If the point (1,3k) lies on the given equation, then it must satisfy the equation.
Putting the value of x and y in the given equation:
$\Rightarrow k (1) + 4 (3 k) = 26$
$\Rightarrow 13 k = 26$
$\Rightarrow k = 2$
Thus, the value of k is 2.

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