If $3 x = 13, 2 y = 7$ then find the value of $3 (2 x) - 2 (3 y)$ .

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Solution

Given $3 x = 13, 2 y = 7$

To find: $3 (2 x) - 2 (3 y) = ?$

Consider $3 (2 x) - 2 (3 y)$

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

$= 2 (13) - 3 (7)$

$= 26 - 21$

$= 5$

$∴ 3 (2 x) - 2 (3 y) = 5$

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