Question

Ecuaciones con fracciones 1/3x-1=2 (1/3x +1/5)

Answer 1

Respuesta:

$R/x=-\frac{21}{5}$

Explicación paso a paso:

$\frac{1}{3} x-1=2(\frac{1}{3}x+\frac{1}{5})$

desarrollar $2(\frac{1}{3}x+\frac{1}{5}):\frac{2}{3} x+\frac{2}{5}$

$\frac{1}{3} x-1=\frac{2}{3} x+\frac{2}{5}$

sumar 1 a ambos lados

$\frac{1}{3} x-1+1=\frac{2}{3} x+\frac{2}{5}+1$

simplificar

$\frac{1}{3}x=\frac{7}{5}+\frac{2}{3}x$

restar $\frac{2}{3} x$ a ambos lados

$\frac{1}{3}x-\frac{2}{3} x=\frac{7}{5}+\frac{2}{3}x-\frac{2}{3} x$

simplificar

$-\frac{1}{3}x=\frac{7}{5}$

multiplicar ambos lados por -3

$(-\frac{1}{3}x)(-3)=\frac{7(-3)}{5}$

simplificar

$R/x=-\frac{21}{5}$=-4.2

https://brainly.lat/tarea/16113483

Answer 2

1/3x-1=2(1/3+1/5)

1/3x-1=2/3x+2/5

5x-15=10x+6

5x-10x=6+15

-5x=21

x=-21/5