Question

решите уравнения

х/3+х/2=х/6+1

у/2-у/8=у/4-1

5х/12-4х/15=х/20+1

х/3-2х/9=х/6+1/2

Answer 1

$1) frac{x}{3} + frac{x}{2} = frac{x}{6} +1 \ 2x+3x=x+6 \ 5x-x=6 \ 4x=6 \ x=1,5$
$2) frac{y}{2} - frac{y}{8} = frac{y}{4} -1 \ 4y-y=2y-8 \3y-2y=-8 \ y=-8$
$3)frac{5x}{12} - frac{4x}{15} = frac{x}{20} +1 \ 25x-16x=3x+60 \ 9x-3x=60 \ 3x=60 \ x=20$
$4)frac{x}{3} - frac{2x}{9} = frac{x}{6} + frac{1}{2} \ 6x-4x=3x+9 \ 2x-3x=9 \ -x=9 \ x=-9$