Question

Resolver y calcular el valor de "x"

a) 0,3 [el 3 es periodico] x - 1/2  = 1/5 . ( x + 1/3)


*0,3 (3 periodico)

cuenta completa porfa

Answer 1

$a) 0,\stackrel{\frown}{3}x- \frac{1}{2}= \frac{1}{5}(x+ \frac{1}{3}) \\ \\ pasamos \ a \ fraccion \to 0,\stackrel{\frown}{3} = \frac{3}{9}= \frac{1}{3} \\ \\ \frac{1}{3} x- \frac{1}{2}= \frac{1}{5}(x+ \frac{1}{3}) \qquad aplicamos \ distributiva \\ \\ \frac{1}{3} x- \frac{1}{2}= \frac{1}{5}x+ \frac{1}{15} \\ \\ \frac{1}{3} x- \frac{1}{5}x= \frac{1}{15}+ \frac{1}{2} \\ \\ \frac{5-3}{15}x= \frac{2+15}{30} \\ \\ \frac{2}{15}x= \frac{17}{30} \to x= \frac{17}{30}: \frac{2}{15}$

$x= \frac{17}{2}: \frac{2}{1} \to \boxed{ \frac{17}{4} }$

Espero que te sirva, salu2!!!!