6.\;\;11x +103 = 1 +(12x-31)11x - 12x = 1-31-103x = 133\\ \\ \\7.\;\;(2x+3) - (5x+11) = 7 + (13-2x)\\ \\2x - 5x + 2x = 7+13 - 3 + 11x = -28 \\8.\;\;(2x+3)+(3x+4) + (5x+5) = 12 -7x2x+3x+5x+7x = 12 - 3 - 4 - 517x = 0x = 0
9.
6x = 1 - (4-6x)
6x - 6x = 1-4
0x = -3 - нет решений
10.
6y - (y-4) = 4+5y
6y - y - 5y = 4 - 4
0y = 0 y - любое число
11.\;\;5.6 - 7y = -4(2y-0.9) + 2.4-7y + 8y = 3.6 + 2.4 - 5.6y = 0.4 \\12.\;\;x-0.5 = 2(0.3x - 0.2)x - 0.6x = -0.4 + 0.50.4x = 0.1x = \frac{0.1}{0.4} = \frac{1}{4} = 0.25
13.\;\;3(2.5 - 2x) = 13.5 - 14x-6x + 14x = 13.5 - 7.58x = 6x = \frac{6}{8} = \frac{3}{4} = 0.75 \\14.\;\; 0.6y - 1.5 = 0.3(y-4)0.6y-0.3y = -1.2 + 1.50.3y = 0.3y = 1 \\15.\;\; 0.5(4-2a) = a - 1.8-a - a = -1.8 - 2-2a = -3.8a = 1.9
16.\;\; 7(3+x) = 2(x-5) +87x - 2x = -10 + 8 -215x = -23x = -\frac{23}{5} = -4\frac{3}{5} = -4.6
17.\;\;-0.2(5-0.7x) + 0.02 = 1.4(x-1.6)
0.14x - 1.4x = -2.24 + 1 - 0.02
-1.26x = -1.26
x= 1
18. \;\; 1.2(3b+5) = 2(2.4b - 3.6)3.6b - 4.8b = -7.2 - 6-1.2b = -13.2b = \frac{13.2}{1.2} = \frac{132}{12} = 11 \\19. \;\;3.2(5x-1) = 3.6x - 9.416x - 3.6x = -9.4+3.212.4x = -6.2x = -0.5 \\20.\;\;8(0.7x -4) - 2(0.2x - 3) = -395.6x -0.4x = -39+32-65.2x = -13x = -\frac{13}{5.2} = -\frac{130}{52} = -\frac{5}{2} = -2.5 \\21.\;\;-3(2.1z - 4) - 4.2 = 1.2(-5z + 0.5)-6.3z+6z = 0.6 - 12 + 4.2-0.3z = -7.2z = 24
22.\;\; 6.4(2-3y) = 6(0.8y-1) +6.8-19.2y -4.8y = -6+6.8-12.8-24y = -12y = 0.5
На
Пошаговое объяснение:
1)14,3 • 0,6 -5,7 • 1,4
14,3*0,6 = 8,58
5.7*1.4=7.98
8.58-7.98= 0.6
2)(54-23,42) • 0,08
54-23,42= 30,58
30,58*0,08 = 2,4464
3)(4,125 – 1,6) • (0,12 +7,3)
4,125 – 1,6 = 2,525
0,12 +7,3 = 7,42
7,42 × 2,525 = 18,7355
4)(139-23,48) : 38 + 4,35 • 18
139-23,48 = 115,52
115,52 : 38 = 3,04
4,35 * 18 = 78,3
78,3 + 3,04 = 81,34
5)(1,87+1,955) : 0,85 –(3 • 1,75 – 2,5) • 1,62
1,87 + 1,955 = 3,825
3 * 1,75 = 5,25, 5,05 - 2,5 = 2,75
3,825 / 0,85 - 2,75 * 1,62
4,5 - 4,455 = 0,045.
6)1,24 : 3,1+12 : 0,25 - 2 : 25 + 18 : 0,45
1, 24 : 3,1 = 0,4;
12 : 0, 25 = 48;
2 : 25 = 0,08;
18 : 0,45 = 40;
0,4 + 48 = 48,4;
48,4 - 0,08 = 48,32;
48,32 + 40 = 88,32.
7)52-(15,54 : 1,48 + 3,4) • 2,8
15,54:1,48=10,5
10,5+3,4=13,9
13,9*2,8=38,92
52-38,92=13,08
Потому что 48:6 и 48:8