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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （5000×12×0.9－70%×51X×6.4%）÷（30%×51X+5%×51X） = 3.8% .
Question type: Equation
Solution:Original question:
| ( | 5000 | × | 12 | × | 9 10 | − | 70 100 | × | 51 | X | × | 32 500 | ) | ÷ | ( | 30 100 | × | 51 | X | + | 5 100 | × | 51 | X | ) | = | 19 500 |
| Multiply both sides of the equation by: | ( | 30 100 | × | 51 | X | + | 5 100 | × | 51 | X | ) |
| ( | 5000 | × | 12 | × | 9 10 | − | 70 100 | × | 51 | X | × | 32 500 | ) | = | 19 500 | ( | 30 100 | × | 51 | X | + | 5 100 | × | 51 | X | ) |
| 5000 | × | 12 | × | 9 10 | − | 70 100 | × | 51 | X | × | 32 500 | = | 19 500 | ( | 30 100 | × | 51 | X | + | 5 100 | × | 51 | X | ) |
| 5000 | × | 12 | × | 9 10 | − | 70 100 | × | 51 | X | × | 32 500 | = | 19 500 | × | 30 100 | × | 51 | X | + | 19 500 | × | 5 100 | × | 51 | X |
| 54000 | − | 1428 625 | X | = | 2907 5000 | X | + | 969 10000 | X |
| 54000 | − | 1428 625 | X | = | 6783 10000 | X |
Transposition :
| - | 1428 625 | X | − | 6783 10000 | X | = | - | 54000 |
Combine the items on the left of the equation:
| - | 29631 10000 | X | = | - | 54000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 54000 | = | 29631 10000 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
29631 10000 | X | = | 54000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 54000 | ÷ | 29631 10000 |
| = | 54000 | × | 10000 29631 |
| = | 18000 | × | 10000 9877 |
We obtained :
| X | = | 180000000 9877 |
Convert the result to decimal form :
| X | = | 18224.157133 |