Question

помогите решить уравнения
3 1/12- 1 5/6 у =1 17/22
(7/12 +11/30х):7 1/4=1/5

Answer 1

▪

$3 frac{1}{12} - 1 frac{5}{6} y = 1 frac{17}{22} \ 3 frac{1}{12 } - 1 frac{17}{22} = 1 frac{5}{6} y \ 1 frac{5}{6} y = 2 frac{11 - 17 times 6}{132} = 2 frac{11 - 102}{132} = 2 - frac{91}{132} = 1 frac{132 - 91}{132} = 1 frac{41}{132} \ 1 frac{5}{6} y = 1 frac{41}{132} \ y = 1 frac{41}{132} div 1 frac{5}{6} = frac{173 times 6}{132 times 11} = frac{173}{22 times 11} = frac{173}{242} \ y = frac{173}{242}$

▪

$( frac{7}{12} + frac{11}{30} x) div 7 frac{1}{4} = frac{1}{5} \ frac{7}{12} + frac{11}{30} x = frac{1}{5} times frac{29}{4} \ frac{7}{12} + frac{11}{30} x = frac{29}{20} \ frac{11}{30} x = 1 frac{9}{20} - frac{7}{12} = 1 frac{9 times 3 - 7 times5 }{60} = 1 frac{27 - 35}{60} = 1 - frac{8}{60} = 1 - frac{2}{15} = frac{13}{15 } \ frac{11}{30} x = frac{13}{15} \ x = frac{13}{15} div frac{11}{30} = frac{13 times 30}{15 times 11} = frac{13 times 2}{11} = frac{26}{11} \ x = 2 frac{4}{11}$

________________

решение верное не сомневайся, т.к. я сделала проверку вычисленных корней уравнения.