If $x = 2 k - 1$ and $y = k$ is a solution of the equation $3 x - 5 y - 7 = 0$ , find the value of $k$ .

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Solution

$3 x - 5 y - 7 = 0$

$3 (2 k - 1) - 5 (k) - 7 = 0$

$6 k - 3 - 5 k - 7 = 0$

$k - 10 = 0$

$k = 10$

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