Question

solucion de 2/3x+5/9y-x-y-1/6x-2/9y

Answer 1

Explicación paso a paso:

$\frac{2}{3} x+\frac{5}{9} y-x-y-\frac{1}{6} x-\frac{2}{9} y$

Agrupar términos semejantes:

$\frac{2}{3}x-\frac{1}{6}x-x+\frac{5}{9}y-y-\frac{2}{9}y$

Sumar elementos similares (x):

$\frac{2}{3}x-\frac{1}{6}x-x\\\\Factorizamos: x\left(\frac{2}{3}-\frac{1}{6}-1\right)\\\\\Con MCM: \frac{4-1-6}{6}$

$Resolvemos: -\frac{1}{2}x$

Sumar elementos similares (y):

$\frac{5}{9}y-y-\frac{2}{9}y$

$Factorizamos: y\left(\frac{5}{9}-1-\frac{2}{9}\right)$

$Resolvemos: -\frac{2}{3} y$

Resolvemos:

$-\frac{1}{2}x-\frac{2}{3}y$  O $-\frac{x}{2}-\frac{2y}{3}$