Question

1) responda a equaçao do 1°grau com passo a passo :
x/2+1/3=3x/5-2/5

Answer 1

$Ola'~~ \\ \\ Sendo~a~equac\tilde{a}o~de~primeiro~grau: \\ \\ \frac{x}{2} + \frac{1}{3} = \frac{3x}{5} - \frac{2}{5} ~~~---\ \textgreater \ Pela~propriedade[ \frac{a}{b} + \frac{c}{d} = \frac{ad+cb}{bd} ],temos: \\ \\ \frac{3.x+1.2}{2.3} = \frac{3x.\not5-2.\not5}{5.\not5} ~~---\ \textgreater \ simplificando~fica. \\ \\ \frac{3x+2}{6} = \frac{3x-2}{5} ~~~---\ \textgreater \ multiplicamos~em~cruz \\ \\ 5(3x+2)=6(3x-2)~~~---\ \textgreater \ multiplicando~pela~distributiva. \\ \\ 15x+10=18x-12~~---\ \textgreater \ agrupando~termor~semelhantes$

$\underbrace{15x-18x}_{\boxed{-3x}}=\underbrace{-12-10}_{\boxed{-22}} \\ \\ -3x=-22~~~---\ \textgreater \ multiplicamos~por~(-1), fica \\ \\ 3x=22 \\ \\ \therefore~~\boxed{\boxed{x= \frac{22}{3} }}$

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                                                Espero ter ajudado!!