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

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