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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 (32-X）/30 = 1/10 .
Question type: Equation
Solution:Original question:
| ( | 32 | − | X | ) | ÷ | 30 | = | 1 | ÷ | 10 |
| Left side of the equation = | 32 | × | 1 30 | − | X | × | 1 30 |
| = | 16 15 | − | X | × | 1 30 |
16 15 | − | 1 30 | X | = | 1 | ÷ | 10 |
| Right side of the equation = | 1 10 |
16 15 | − | 1 30 | X | = | 1 10 |
Transposition :
| - | 1 30 | X | = | 1 10 | − | 16 15 |
Combine the items on the right of the equation:
| - | 1 30 | X | = | - | 29 30 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
29 30 | = | 1 30 | 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 :
1 30 | X | = | 29 30 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 29 30 | ÷ | 1 30 |
| = | 29 30 | × | 30 |
| = | 29 | × | 1 |
We obtained :
| X | = | 29 |