Пошаговое объяснение:
1)(x+9)/7=1+ (x+1)/3;
3*(x + 9) = 21*1 + 7*(x + 1)
3x + 27 = 21 + 7x + 7
3x + 27 = 28 + 7x
7x - 3x = 27 - 28
4x = -1
x = -1 : 4
x = -0,25
2)1- (5x-2)/6=(x-5)/9;
18*1 - 3*(5x - 2) = 2*(x - 5)
18 - 15x + 6 = 2x - 10
24 - 15x = 2x - 10
2x + 15x = 24 + 10
17x = 34
x = 34 : 17
x = 2
3) (3x+4)/5 + (x-7)/2=2(2x+3)/5;
(3x + 4)/5 + (x - 7)/2 = (4x + 6)/5
2*(3x + 4) + 5*(x - 7) = 2*(4x + 6)
6x + 8 + 5x - 35 = 8x + 12
11x - 27 = 8x + 12
11x - 8x = 12 + 27
3x = 39
x = 39 : 3
x = 13
4)(7x-3)/2 - (9-4x)/3=(7-x)/2
3*(7x - 3) - 2*(9 - 4x) = 3*(7 - x)
21x - 9 - 18 + 8x = 21 - 3x
29x - 27 = 21 - 3x
29x + 3x = 21 + 27
32x = 48
x = 48 : 32
x = 1,5
Пошаговое объяснение:
1)(x+9)/7=1+ (x+1)/3;
3*(x + 9) = 21*1 + 7*(x + 1)
3x + 27 = 21 + 7x + 7
3x + 27 = 28 + 7x
7x - 3x = 27 - 28
4x = -1
x = -1 : 4
x = -0,25
2)1- (5x-2)/6=(x-5)/9;
18*1 - 3*(5x - 2) = 2*(x - 5)
18 - 15x + 6 = 2x - 10
24 - 15x = 2x - 10
2x + 15x = 24 + 10
17x = 34
x = 34 : 17
x = 2
3) (3x+4)/5 + (x-7)/2=2(2x+3)/5;
(3x + 4)/5 + (x - 7)/2 = (4x + 6)/5
2*(3x + 4) + 5*(x - 7) = 2*(4x + 6)
6x + 8 + 5x - 35 = 8x + 12
11x - 27 = 8x + 12
11x - 8x = 12 + 27
3x = 39
x = 39 : 3
x = 13
4)(7x-3)/2 - (9-4x)/3=(7-x)/2
3*(7x - 3) - 2*(9 - 4x) = 3*(7 - x)
21x - 9 - 18 + 8x = 21 - 3x
29x - 27 = 21 - 3x
29x + 3x = 21 + 27
32x = 48
x = 48 : 32
x = 1,5