Question

A) 2+X/4 = X/3 B)X/6/5 = 1/12 C) 6X/5 = 2/5/1/3

Preciso da conta, obrigado ^^

Answer 1

Boa Noite!

$a)~~ \frac{2+x}{4} = \frac{x}{3} \\ \\ ~~ ~~~4x=3(2+x) \\ \\ ~~ ~~~ 4x=6+3x \\ \\ ~~~~~4x-3x=6 \\ \\ ~~~~~\boxed{x=6} \\ \\ \\ b)~~ \frac{ \frac{x}{6} }{5}= \frac{1}{12} \\ \\ ~~~~~x. \frac{5}{6}= \frac{1}{12} \\ \\~~~~~ \frac{5x}{6}= \frac{1}{12} \\ \\ ~~~~~60x=6 \\ \\ ~~~~~x= \frac{6}{60} \\ \\ ~~~~~\boxed{x= \frac{1}{10}}$


$c)~~ \frac{6x}{5} = \frac{ \frac{2}{5} }{ \frac{1}{3} } \\ \\ ~~~~~ \frac{6x}{5} = \frac{2}{5} .\frac{3}{1} \\ \\ ~~~~~ \frac{6x}{5} = \frac{6}{5} \\ \\ ~~~~~6x=6 \\ \\ ~~~~~x= \frac{6}{6} \\ \\ ~~~~~~\boxed{x=1}$

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