1) х+1/8x=3/4 2) 2y-2/5y=6 2/5 3) 3/5x-1/3x=6 1/4 4) (2x-1/8x) : 1/2=1/3

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6 июня, 12:46

1) х+1/8x=3/4 2) 2y-2/5y=6 2/5 3) 3/5x-1/3x=6 1/4 4) (2x-1/8x) : 1/2=1/3

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Ультрастар · Answer 1

1) х + 1/8x = 3/4;

8/8 х + 1/8 х = 3/4;

9/8 х = 3/4;

х = 3/4 : 9/8;

х = 3/4 * 8/9;

х = 2/3;

2/3 + 1/8 * 2/3 = 3/4;

2/3 + 2/24 = 3/4;

2/3 + 1/12 = 3/4;

8/12 + 1/12 = 3/4;

9/12 = 3/4;

3/4 = 3/4.

2) 2y - 2/5y = 6 2/5;

10/5 у - 2/5 у = 32/5;

8/5 у = 32/5;

у = 32/5 : 8/5;

у = 32/5 * 5/8;

у = 4;

2 * 4 - 2/5 * 4 = 6 2/5;

8 - 8/5 = 32/5;

40/5 - 8/5 = 32/5;

32/5 = 32/5.

3) 3/5x - 1/3x = 6 1/4;

9/15 х - 5/15 х = 25/4;

4/15 х = 25/4;

х = 25/4 : 4/15;

х = 25/4 * 15/4;

х = 375/16;

3/5 * 375/16 - 1/3 * 375/16 = 6 1/4;

225/16 - 375/48 = 25/4;

675/48 - 375/48 = 25/4;

300/48 = 25/4;

25/4 = 25/4.

4) (2x - 1/8x) : 1/2 = 1/3;

2 х: 1/2 - 1/8 х: 1/2 = 1/3;

2 х * 2 - 1/8 х * 2 = 1/3;

4 х - 2/8 х = 1/3;

4 х - 1/4 х = 1/3;

16/4 х - 1/4 х = 1/3;

15/4 х = 1/3;

х = 1/3 : 15/4;

х = 1/3 * 4/15;

х = 4/45;

(2 * 4/45 - 1/8 * 4/45) : 1/2 = 1/3;

(8/45 - 1/90) : 1/2 = 1/3;

(16/90 - 1/90) * 2 = 1/3;

15/90 * 2 = 1/3;

30/90 = 1/3;

1/3 = 1/3.