Ответ:
Пошаговое объяснение:
1) (2/3)/(4/9 ·x -4/9) +1/20=4/5
(2/3)/(4/9 ·(x-1))=16/20 -1/20
4/9 ·(x-1)=(2/3)/(3/4)
x-1=2/3 ·4/3 ·9/4
x-1=2
x=2+1=3
2) (5/7)/(6/7 ·x +3/7) -1/2=1/6
(5/7)/(3/7 ·(2x+1))=1/6 +3/6
3/7 ·(2x+1)=(5/7)/(2/3)
2x+1=5/7 ·3/2 ·7/3
2x+1=5/2
2x=5/2 -2/2
x=3/2 ·1/2=3/4=0,75
3) (3/4)/(5/8 ·x -1/2) -1/8=1/4
(3/4)/(1/2 ·(5/4 ·x-1))=2/8 +1/8
1/2 ·(5/4 ·x-1)=(3/4)/(3/8)
1/2 ·(5/4 ·x-1)=3/4 ·8/3
5/4 ·x-1=2·2
5/4 ·x=4+1
x=5·4/5=4
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Answers & Comments
Ответ:
Пошаговое объяснение:
1) (2/3)/(4/9 ·x -4/9) +1/20=4/5
(2/3)/(4/9 ·(x-1))=16/20 -1/20
4/9 ·(x-1)=(2/3)/(3/4)
x-1=2/3 ·4/3 ·9/4
x-1=2
x=2+1=3
2) (5/7)/(6/7 ·x +3/7) -1/2=1/6
(5/7)/(3/7 ·(2x+1))=1/6 +3/6
3/7 ·(2x+1)=(5/7)/(2/3)
2x+1=5/7 ·3/2 ·7/3
2x+1=5/2
2x=5/2 -2/2
x=3/2 ·1/2=3/4=0,75
3) (3/4)/(5/8 ·x -1/2) -1/8=1/4
(3/4)/(1/2 ·(5/4 ·x-1))=2/8 +1/8
1/2 ·(5/4 ·x-1)=(3/4)/(3/8)
1/2 ·(5/4 ·x-1)=3/4 ·8/3
5/4 ·x-1=2·2
5/4 ·x=4+1
x=5·4/5=4