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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 0.012*（0.54-a） = 0.013*(a-0.59) .
Question type: Equation
Solution:Original question:
3 250 | ( | 27 50 | − | a | ) | = | 13 1000 | ( | a | − | 59 100 | ) |
| Left side of the equation = | 3 250 | × | 27 50 | − | 3 250 | a |
| = | 81 12500 | − | 3 250 | a |
81 12500 | − | 3 250 | a | = | 13 1000 | ( | a | − | 59 100 | ) |
| Right side of the equation = | 13 1000 | a | − | 13 1000 | × | 59 100 |
| = | 13 1000 | a | − | 767 100000 |
81 12500 | − | 3 250 | a | = | 13 1000 | a | − | 767 100000 |
Transposition :
| - | 3 250 | a | − | 13 1000 | a | = | - | 767 100000 | − | 81 12500 |
Combine the items on the left of the equation:
| - | 1 40 | a | = | - | 767 100000 | − | 81 12500 |
Combine the items on the right of the equation:
| - | 1 40 | a | = | - | 283 20000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
283 20000 | = | 1 40 | a |
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 40 | a | = | 283 20000 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 283 20000 | ÷ | 1 40 |
| = | 283 20000 | × | 40 |
| = | 283 500 | × | 1 |
We obtained :
| a | = | 283 500 |
Convert the result to decimal form :
| a | = | 0.566 |