Задание 41: Решение уравнений
Для решения уравнений необходимо найти значение неизвестной переменной (a, b, c или x, y), соблюдая правила алгебраических преобразований.
Блок А
| Уравнение |
Решение |
1: c = 0.2 |
c = 1 * 0.2 = 0.2 |
y : 0.6 = 6 |
y = 6 * 0.6 = 3.6 |
0.6 : x = 0.2 |
x = 0.6 / 0.2 = 3 |
3.7 - b = 0 |
b = 3.7 - 0 = 3.7 |
b : 0.3 = 0.3 |
b = 0.3 * 0.3 = 0.09 |
2 : a = 0.2 |
a = 2 / 0.2 = 10 |
x * 0.1 = 0.8 |
x = 0.8 / 0.1 = 8 |
y : 0.2 = 10 |
y = 10 * 0.2 = 2 |
0.8 * a = 1.6 |
a = 1.6 / 0.8 = 2 |
b : 0.4 = 2 |
b = 2 * 0.4 = 0.8 |
5 * y = 4 |
y = 4 / 5 = 0.8 |
c : 0.7 = 1 |
c = 1 * 0.7 = 0.7 |
2 : b = 5 |
b = 2 / 5 = 0.4 |
b * 0.5 = 4 |
b = 4 / 0.5 = 8 |
0.4 : y = 0.04 |
y = 0.4 / 0.04 = 10 |
a : 0.2 = 0.4 |
a = 0.4 * 0.2 = 0.08 |
0.9 : c = 9 |
c = 0.9 / 9 = 0.1 |
7 * x = 2.1 |
x = 2.1 / 7 = 0.3 |
b : 0.4 = 0.5 |
b = 0.5 * 0.4 = 0.2 |
0.75 * y = 0.75 |
y = 0.75 / 0.75 = 1 |
x : 0.3 = 0.6 |
x = 0.6 * 0.3 = 0.18 |
a * 10 = 5 |
a = 5 / 10 = 0.5 |
4.5 : y = 9 |
y = 4.5 / 9 = 0.5 |
6 * c = 3.6 |
c = 3.6 / 6 = 0.6 |
Блок Б
| Уравнение |
Решение |
0.6 : c = 6 |
c = 0.6 / 6 = 0.1 |
0.3 * a = 0.9 |
a = 0.9 / 0.3 = 3 |
0.4 * x = 0.1 |
x = 0.1 / 0.4 = 0.25 |
y - 5 = 1 |
y = 1 + 5 = 6 |
0.5 * c = 2 |
c = 2 / 0.5 = 4 |
2.4 : b = 3 |
b = 2.4 / 3 = 0.8 |
8 * x = 3.2 |
x = 3.2 / 8 = 0.4 |
y : 0.1 = 12 |
y = 12 * 0.1 = 1.2 |
3 : a = 5 |
a = 3 / 5 = 0.6 |
10 * b = 2 |
b = 2 / 10 = 0.2 |
3 : c = 0.3 |
c = 3 / 0.3 = 10 |
x * 0.2 = 0.8 |
x = 0.8 / 0.2 = 4 |
a : 0.9 = 0.3 |
a = 0.3 * 0.9 = 0.27 |
1.4 * b = 0.7 |
b = 0.7 / 1.4 = 0.5 |
c : 4 = 0.25 |
c = 0.25 * 4 = 1 |
6 * y = 1.2 |
y = 1.2 / 6 = 0.2 |
1 : x = 0.5 |
x = 1 / 0.5 = 2 |
a : 2 = 0.15 |
a = 0.15 * 2 = 0.3 |
0.8 * y = 8 |
y = 8 / 0.8 = 10 |
c : 8.4 = 0 |
c = 0 * 8.4 = 0 |
b : 0.3 = 0.2 |
b = 0.2 * 0.3 = 0.06 |
a * 0.01 = 0.6 |
a = 0.6 / 0.01 = 60 |
0.8 : y = 0.08 |
y = 0.8 / 0.08 = 10 |
x : 0.3 = 10 |
x = 10 * 0.3 = 3 |
0.6 * c = 1.8 |
c = 1.8 / 0.6 = 3 |