$If 2 a - 3 = 5$
$and 3 b + 1 = 2$ ,
$then find the value of (3 b - 2 a) .$

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Solution

$2 a - 3 = 5 \Rightarrow 2 a = 5 + 3 \Rightarrow a = \frac{8}{2} \Rightarrow a = 4$

$Also, 3 b + 1 = 2 \Rightarrow 3 b = 2 - 1 \Rightarrow b = \frac{1}{3}$
Substituting the value of $a$ and $b$ , we get,

$3 b - 2 a = 3 (\frac{1}{3}) - 2 (4) \Rightarrow 3 b - 2 a = 1 - 8 \Rightarrow 3 b - 2 a = - 7$

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If 2 a - 3 = 5

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