Решите уравнения:1)( y+5/7)×1/3=2 4/9;2)(5/12-x):1/2=2/9;3)(1 16/25+x)-4/5=4...

Question

Решите уравнения:1)( y+5/7)×1/3=2 4/9;2)(5/12-x):1/2=2/9;3)(1 16/25+x)-4/5=4 2/25;4)4/15-(y+3/25)=1/25;5)(8 3/14-y):3/7=17;6)3 1/16:(x-5/16)=7/8.

Answer 1

1) (у + 5/7) * 1/3 = 2
у + 5/7 = 2 : 1/3 = 2/1 * 3/1 = 6
у = 6 - 5/7 = 6/1 - 5/7 = (42-5)/7 = 37/7 = 5 2/7

2) (5/12 - х) : 1/2 = 2/9
5/12 - х = 2/9 * 1/2 = 1/9
х = 5/12 - 1/9 = (15-4)/36 = 11/36

3) (1 16/25 + х) - 4/5 = 4
1 16/25 + х = 4 + 4/5 = 4 4/5
х = 4 4/5 - 1 16/25 = 24/5 - 41/25 = (120-41)/25 = 79/25 = 3 4/25

4) 4/15 - (у + 3/25) = 1/25
у + 3/25 = 4/15 - 1/25 = (20-3)/75 = 17/75
у = 17/75 - 3/25 = (17-9)/75 = 8/75

5) (8 3/14 - у) : 3/7 = 17
8 3/14 - у = 17 * 3/7 = 17/1 * 3/7 = 51/7
у = 8 3/14 - 51/7 = 115/14 - 51/7 = (115-102)/14 = 13/14

6) 3 1/16 : (х - 5/16) = 7/8
х - 5/16 = 3 1/16 : 7/8 = 49/16 * 8/7 = 7/2
х = 7/2 + 5/16 = (56+5)/16 = 61/16 = 3 13/16