ответы в решениях
Пошаговое объяснение:
1) (x-2)/6+x/2=(5x-2)/9; (НОК (2,6,9) = 18);
3(x-2)+9x = 2(5x-2);
3x-6 + 9x = 10x - 4;
3x +9x - 10x = 6 - 4;
2x = 2;
x=1;
***
2) (5+2x)/3 = (x-3)/5 + (x+5)/2; (НОК (3,5,2)=30);
10(5+2х)= 6(x-3) + 15(x+5);
50+20x=6x-18+15x+75;
20x-6x-15x=75 - 18 - 50;
-x = 7;
x= -7.
***
3) 3(x+1)/8 + 2(5-x)/3 = (16-13x)/12; (НОК(8,3,12)=24);
9(x+1) + 16(5-x) = 32 - 26x;
9x+9 + 80-16x = 32-26x;
9x-16x+26x = 32 -9 -80;
19x = -57;
x= -3.
***
4) 5(7-2x)/3 - (4x-2)/9 = (x-19)/2; (НОК (3,9,2)=18);
30(7-2x) - 8x+4 = 9x-171;
210 - 60x - 8x + 4 = 9x-171;
-60x - 8x -9x = -171 -210 - 4;
- 77x = - 385;
x= 5.
1) 9 - 2/3 = 8 1/3
2) 8 1/3 + 6 7/24 = 8 8/24 + 6 7/24 = 14 15/24 = 14 5/8
3) 14 5/8 - 2 1/4 = 14 5/8 - 2 2/8 = 12 3/8
8 13/30 + 13 4/5 - 5 5/6 + 7/10 = 17 1/10
1) 8 13/30 + 13 4/5 = 8 13/30 + 13 24/30 = 21 37/30
2) 21 37/30 - 5 5/6 = 21 37/30 - 5 25/30 = 16 12/30 = 16 4/10
3) 16 4/10 + 7/10 = 16 11/10 = 17 1/10
17 3/4 - 9 1/32 + 4 3/8 - 5 3/16 = 7 29/32
1) 17 3/4 - 9 1/32 = 17 24/32 - 9 1/32 = 8 23/32
2) 8 23/32 + 4 3/8 = 8 23/32 + 4 12/32 = 12 35/32
3) 12 35/32 - 5 3/16 = 12 35/32 - 5 6/32 = 7 29/32
21 4/15 + 1 5/6 - 9 7/30 + 16 7/24 = 30 19/120
1) 21 4/15 + 1 5/6 = 21 8/30 + 1 25/30 = 22 33/30
2) 22 33/30 - 9 7/30 = 13 26/30 = 13 13/15
3) 13 13/15 + 16 7/24 = 13 104/120 + 16 35/120 = 29 139/120 =
= 30 19/120