Пошаговое объяснение:
Найдите корень уравнения.
1)
9(x-1)=x+15
9x - 9 = x + 15
9x - x = 15 + 9
8x = 24
x = 24 : 8
x = 3
2)
(11x+14)-(5x-8)=25
11x + 14 - 5x + 8 = 25
6x + 22 = 25
6x = 25 - 22
6x = 3
x = 3 : 6
x = 0,5
3)
12-4(x-3)=39-9x
12 - 4x + 12 = 39 - 9x
24 - 4x = 39 - 9x
9x - 4x = 39 - 24
5x = 15
x = 15 : 5
x = 3
4)
2(3x+5)-3(4x-1)=11,8
6x + 10 - 12x + 3 = 11,8
-6x + 13 = 11,8
6x = 13 - 11,8
6x = 1,2
x = 1,2 : 6
x = 0,2
Решите уравнение:
1)
-7(2-3x)=56
-14 + 21x = 56
21x = 56 + 14
21x = 70
x = 70 : 21
x = 3 1/3
2)
(5+7a)*15= -30
75 + 105a = -30
105a = -30 - 75
105a = -105
a = -1
Решите уравнение:
1)
0,4(x-3)-1,6=5(0,1x-0,5)
0,4x - 1,2 - 1,6 = 0,5x - 2,5
0,4x - 2,8 = 0,5x - 2,5
0,5x - 0,4x = -2,8 + 2,5
0,1x = -0,3
x = -0,3 : 0,1
x = -3
2)
1,5(2x-5)+2x=5(0,5x-1,5)-10
3x - 7,5 + 2x = 2,5x - 7,5 - 10
5x - 7,5 = 2,5x - 17,5
5x - 2,5x = -17,5 + 7,5
2,5x = -10
x = -10 : 2,5
x = -4
3)
2/3 (1 1/2x+3/5)-4/5(5/12x-1/2)=1 3/5
x + 2/5 - 1/3x + 2/5 = 1 3/5
2/3x + 4/5 = 1 3/5
2/3x = 1 3/5 - 4/5
2/3x = 4/5
x = 4/5 * 3/2
x = 6/5
x = 1 1/5
Чему равен корень уравнения:
1)
(x-8)/(x+2)=7/3
7*(x+2) = 3*(x-8)
7x + 14 = 3x - 24
7x - 3x = -24 - 14
4x = -38
x = -38 : 4
x = -9 1/2
2)
4/(x-12)=15/(x-10)
15*(x-12) = 4*(x-10)
15x - 180 = 4x - 40
15x - 4x = 180 - 40
11x = 140
x = 140 : 11
x = 12 8/11
9 - 1 5/8 - 3/20 = 360/40 - 65/40 - 6/40 = 289/40 = 7 9/40
3 - 1/6 - 2/3 = 18/6 - 1/6 - 4/6 = 13/6 = 2 1/6
4 5/6*(2 3/8 + 7/12) = 29/6*19/8 + 29/6*7/12 = 551/48 + 203/72 = 1653/144 + 406/144 = 2059/144 = 14 43/144
7-2 3/4 - 7/12 = 7 - 11/4 - 7/12 = 84/12 - 33/12 - 7/12 = 44/12 = 3 8/12 = 3 2/3
6 1/4 - 3 2/5 - 3/8 = 25/4 - 17/5 - 3/8 = 250/40 - 136/40 - 15/40 = 99/40 = 2 19/40