Question

Решить уравнение: - (5,7 - 2,9x) - (3,8x - 3,7) = - 4,9x (3,6x + 2,5) - (1,8x + 2,3) = 1,6x (7,4x - 12,3x) - (1,56 - 2,3x) = 2,6x - (4,1x - 5,5x) - (7,3x + 3,6) = - 5,3x - (3,3x + 1,2) - (0,7x + 1,6) = 0 24x+8=15-100; 76-45x=94x-341; 24x-12(7+x)=16-8x; -15(4y-3)+37y=42y-111; – (10x-18)+19(4+3x)=9-21(x+7)+4(18-3x).

Answer 1

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Answer 2

- (5,7 - 2,9x) - (3,8x - 3,7) = - 4,9x
- 5,7 + 2,9x - 3,8x + 3,7 = -4,9x
-0,9x - 2 = -4,9x
4,9x - 0,9x = 2
4x = 2
x = 2 : 4
x = 0,5
---------------------------------
(3,6x + 2,5) - (1,8x + 2,3) = 1,6x
3,6x + 2,5 - 1,8x - 2,3 = 1,6x
1,8x + 0,2 = 1,6x
1,8x - 1,6x = -0,2
0,2x = -0,2
x = -1
----------------------------
(7,4x - 12,3x) - (1,56 - 2,3x) = 2,6x
7,4x - 12,3x - 1,56 + 2,3x = 2,6x
-2,6x - 1,56 = 2,6x
2,6x + 2,6x = -1,56
5,2x = -1,56
x = -1,56 : 5,2
x = -0,3
----------------------------------
- (4,1x - 5,5x) - (7,3x + 3,6) = - 5,3x
-4,1x + 5,5x - 7,3x - 3,6 = -5,3x
-5,9x - 3,6 = -5,3x
5,9x - 5,3x = -3,6
0,6x = -3,6
x = -3,6 : 0,6
x = -6
-------------------------
- (3,3x + 1,2) - (0,7x + 1,6) = 0
-3,3x - 1,2 - 0,7x - 1,6 = 0
-4x - 2,8 = 0
-4x = 2,8
x = -2,8 : 4
x = -0,7
-------------------------------------
24x+8=15-100;
24x + 8 = -85
24x = -85 - 8
24x = -93
x = -93 : 24
x = -3,875
-----------------------------
76-45x=94x-341;
94x + 45x = 76 + 341
139x = 417
x = 417 : 139
x = 3
--------------------------
24x-12(7+x)=16-8x;
24x - 84 - 12x = 16 - 8x
12x - 84 = 16 - 8x
12x + 8x = 16 + 84
20x = 100
x = 100:20
x = 5
----------------------------
-15(4y-3)+37y=42y-111;
-60y + 45 + 37y = 42y - 111
-23y + 45 = 42y - 111
42y + 23y = 45 + 111
65y = 156
y = 156 : 65
y = 2,4
-----------------------------------------
– (10x-18)+19(4+3x)=9-21(x+7)+4(18-3x).
-10x + 18 + 76 + 57x = 9 - 21x - 147 + 72 - 12x
47x + 94 = -33x - 66
47x + 33x = -66 - 94
80x = -160
x = -160 : 80
x = -2

Answer 3

To solve the given equations, we'll take them one by one and simplify step by step.

1. -(5.7 - 2.9x) - (3.8x - 3.7) = -4.9x(3.6x + 2.5) - (1.8x + 2.3) = 1.6x
2. (7.4x - 12.3x) - (1.56 - 2.3x) = 2.6x - (4.1x - 5.5x) - (7.3x + 3.6) = -5.3x - (3.3x + 1.2) - (0.7x + 1.6) = 0
3. 24x + 8 = 15 - 100
4. 76 - 45x = 94x - 341
5. 24x - 12(7 + x) = 16 - 8x
6. -15(4y - 3) + 37y = 42y - 111
7. -(10x - 18) + 19(4 + 3x) = 9 - 21(x + 7) + 4(18 - 3x)

Let's solve each equation:

1. -(5.7 - 2.9x) - (3.8x - 3.7) = -4.9x -5.7 + 2.9x - 3.8x + 3.7 = -4.9x -0.9x - 1.9 = -4.9x -0.9x + 4.9x = 1.9 4x = 1.9 x = 1.9 / 4 x = 0.475

2. (7.4x - 12.3x) - (1.56 - 2.3x) = 2.6x -4.9x - 1.56 + 2.3x = 2.6x -4.9x - 2.3x - 2.6x = 1.56 -9.8x = 1.56 x = 1.56 / -9.8 x = -0.159

3. 24x + 8 = 15 - 100 24x = -85 x = -85 / 24 x ≈ -3.542

4. 76 - 45x = 94x - 341 -45x - 94x = -341 - 76 -139x = -417 x = -417 / -139 x ≈ 3

5. 24x - 12(7 + x) = 16 - 8x 24x - 84 - 12x = 16 - 8x 24x - 12x + 8x = 16 + 84 20x = 100 x = 100 / 20 x = 5

6. -15(4y - 3) + 37y = 42y - 111 -60y + 45 + 37y = 42y - 111 -60y + 37y - 42y = -111 - 45 -65y = -156 y = -156 / -65 y ≈ 2.4

7. -(10x - 18) + 19(4 + 3x) = 9 - 21(x + 7) + 4(18 - 3x) -10x + 18 + 76 + 57x = 9 - 21x - 147 + 4(18 - 3x) -10x + 18 + 76 + 57x = 9 - 21x - 147 + 72 - 12x 47x + 94 = -15x - 66 47x + 15x = -66 - 94 62x = -160 x = -160 / 62 x ≈ -2.58

So, the solutions for each variable are: x = 0.475, -0.159, -3.542, 3, 5, -2.58 y ≈ 2.4