If the point $(2 K - 3, K + 2)$ lies on the graph of equation $2 x + 3 x + 15 = 0$ , find the value of x.

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Solution

Given point $(2 K - 3, K + 2)$
$2 x + 3 y + 15 = 0$
$2 (2 K - 3) + 3 (K + 2) + 15 = 0$
$4 K - 6 + 3 K + 6 + 15 = 0$
$7 K + 15 = 0$
$K = - 15 / 7$

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