Question

(3x+2) /(3x-2)=6 plz explain


answer is 14/15​

Answer 1

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\sf \bf \dfrac{(3x+2)}{(3x-2)}=6$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf \implies \dfrac{(3x+2)}{(3x-2)}=6$

$\sf \bf \implies (3x+2)=6 \times (3x-2)$

$\sf \bf \implies 3x+2=18x-12$

$\sf \bf \implies 12+2=18x-3x$

$\sf \bf \implies 14=15x$

$\sf \bf \implies 15x=14$

$\implies{\boxed {\color {red} {\sf \bf x=\dfrac{14}{15}}}}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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$\sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

$\tt {Identities}$

$\sf \bf {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}$

$\sf \bf {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}$

$\sf \bf (a+b) (a-b) ={a}^{2}-{b}^{2}$

${\mathbb{\colorbox {orange} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {lime} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {aqua} {@suraj5070}}}}}}}}}}}}}}}$

Answer 2

$\Large\purple{\textbf{\textsf{answer:}}}$

$\large\bf{To~solve:}$

$\bf{~~~~~~~~{\dfrac{(3x+2)}{(3x-2)}}=6}$

$\bf{By~cross~multiplication~we~get:}$

$\bf{~~~~~~~~3x+2=6(3x-2)}$

$\bf{: \longrightarrow 3x+2=18x-12}$

$\bf{: \longrightarrow 3x-18x=-12-2}$

$\bf{: \longrightarrow -15x=-14}$

$\bf{: \longrightarrow 15x=14}$

$\bf{: \longrightarrow x={\purple{\underline{\boxed{\bf~~{\dfrac{14}{15}}~~}}}}}$