Question

Решите уравнение ( 1 2/3 - 37/75)*х= 2 1/3 - 4 1/5(1 3/4- 1 19/48)*х=1 2/3-3 5/7

Answer 1

1)-4 1/5-2 1/3=-1 13/15    2)1 2/3-37/35= 1 13/75    3)1 1375*х=-1 13/15     х=-1 13/15:1 13/75     х=-35/22=-1 7/22

Answer 2

Для решения уравнений сначала упростим выражения в скобках.

1) (1 + 2/3 - 37/75) * x = 2 + 1/3 - 4 + 1/5 (5/3 - 37/75) * x = 7/3 - 21/5 (125/75 - 37/75) * x = (35/15 - 63/15) (88/75) * x = (-28/15) x = (-28/15) / (88/75) x = (-28/15) * (75/88) x = -2100/1320 x = -35/22

2) (1 + 3/4 - 1 + 19/48) * x = 1 + 2/3 - 3 + 5/7 (7/4 - 67/48) * x = 5/3 - 22/7 (84/48 - 67/48) * x = (35/21 - 264/84) (17/48) * x = (-539/252) x = (-539/252) / (17/48) x = (-539/252) * (48/17) x = -25992/4284 x = -81/13

Таким образом, решения уравнений: 1) x = -35/22 2) x = -81/13