157 100 | × | 9 | ( | X | ) | + | 31 20 | × | 30 | ( | X | − | 100 | ) | + | 31 20 | × | 90 | ( | X | − | 200 | ) | + | 156 | × | 157 100 | × | 1400 | = | 600000 |
方程左边 = | 1413 100 | ( | X | ) | + | 93 2 | ( | X | − | 100 | ) | + | 279 2 | ( | X | − | 200 | ) | + | 342888 |
1413 100 | ( | X | ) | + | 93 2 | ( | X | − | 100 | ) | + | 279 2 | ( | X | − | 200 | ) | + | 342888 | = | 600000 |
方程左边 = | 1413 100 | X | + | 93 2 | ( | X | − | 100 | ) | + | 279 2 | ( | X | − | 200 | ) | + | 342888 |
= | 1413 100 | X | + | 93 2 | X | − | 93 2 | × | 100 | + | 279 2 | ( | X | − | 200 | ) | + | 342888 |
= | 1413 100 | X | + | 93 2 | X | − | 4650 | + | 279 2 | ( | X | − | 200 | ) | + | 342888 |
= | 6063 100 | X | + | 338238 | + | 279 2 | ( | X | − | 200 | ) |
= | 6063 100 | X | + | 338238 | + | 279 2 | X | − | 279 2 | × | 200 |
= | 6063 100 | X | + | 338238 | + | 279 2 | X | − | 27900 |
= | 20013 100 | X | + | 310338 |
20013 100 | X | + | 310338 | = | 600000 |
20013 100 | X | = | 600000 | − | 310338 |
20013 100 | X | = | 289662 |
X | = | 289662 | ÷ | 20013 100 |
= | 289662 | × | 100 20013 |
= | 96554 | × | 100 6671 |
X | = | 9655400 6671 |
X | = | 1447.36921 |