Question

3x-1/2y +2 2/3y -5/6x

Answer 1

$Solution, 3x-\frac{1}{2}y+\frac{22}{3}y-\frac{5}{6}x=\frac{13x+41y}{6}$

$Steps:$

$\mathrm{Group\:like\:terms}, =3x-\frac{5}{6}x-\frac{1}{2}y+\frac{22}{3}y$

$\mathrm{Add\:similar\:elements:}\:3x-\frac{5}{6}x=\frac{13}{6}x, =\frac{13}{6}x-\frac{1}{2}y+\frac{22}{3}y$

$\mathrm{Add\:similar\:elements:}\:-\frac{1}{2}y+\frac{22}{3}y=\frac{41}{6}y, =\frac{13}{6}x+\frac{41}{6}y$

$\mathrm{Multiply\:}\frac{13}{6}x\::\quad \frac{13x}{6}, =\frac{13x}{6}+\frac{41}{6}y$

$\mathrm{Multiply\:}\frac{41}{6}y\::\quad \frac{41y}{6}, =\frac{13x}{6}+\frac{41y}{6}$

$\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}, =\frac{13x+41y}{6}$

The correct answer is $=\frac{13x+41y}{6}$

Hope this helps!!!