Question

Срочно! Даю 100 баллов!
Решите уравнения:
1) 5/8x - 7/12x + 5/6x = 1/4
2) 6 * (5/6x - 1 1/3) = 5
3) (3/14 + 5/21x) : 3/7 = 3 1/4
4) 2 1/15 - 3/4m = 59/60
5) (3/15x - 2/3) * 15 = 8

Answer 1

$frac{5}{8}x - frac{7}{12}x + frac{5}{6}x = frac{1}{4}, \ 3cdot5x - 2cdot7x + 4cdot5x = 6, \ 15x - 14x + 20x = 6, \ 21x = 6, \ x = frac{6}{21}, \ x = frac{2}{7};$

$6cdot(frac{5}{6}x - 1frac{1}{3}) = 5, \ 5x - 6cdotfrac{4}{3} = 5, \ 5x - 8 = 5, \ 5x = 13, \ x = frac{13}{5}, \ x = 2frac{3}{5};$

$(frac{3}{14} + frac{5}{21}x) : frac{3}{7} = 3frac{1}{4}, \ (frac{3}{14} + frac{5}{21}x)cdotfrac{7}{3} = frac{13}{4}, \ frac{1}{2} + frac{5}{9}x = frac{13}{4}, \ frac{5}{9}x = frac{11}{4}, \ x = frac{99}{20}, \ x = 4frac{19}{20};$

$2frac{1}{15} - frac{3}{4}m = frac{59}{60}, \ frac{31}{15} - frac{3}{4}m = frac{59}{60}, \ 4cdot31 - 15cdot3m = 59, \ 124 - 45m = 59, \ 45m = 65, \ m = frac{13}{9}, \ m = 1frac{4}{9};$

$(frac{3}{15}x - frac{2}{3})cdot15 = 8, \ 3x - 10 = 8, \ 3x = 18, \ x = 6.$