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Work: Find the solution of equation (4500×12×0.9-60%×70X×6.95%)÷(40%×70X+50%×70X) = 3.8% .
Question type: Equation
Solution:Original question:| | ( | 4500 | × | 12 | × | 9 10 | − | 60 100 | × | 70 | X | × | 139 2000 | ) | ÷ | ( | 40 100 | × | 70 | X | + | 50 100 | × | 70 | X | ) | = | 19 500 |
| Multiply both sides of the equation by: | ( | 40 100 | × | 70 | X | + | 50 100 | × | 70 | X | ) |
| | ( | 4500 | × | 12 | × | 9 10 | − | 60 100 | × | 70 | X | × | 139 2000 | ) | = | 19 500 | ( | 40 100 | × | 70 | X | + | 50 100 | × | 70 | X | ) |
Remove a bracket on the left of the equation::
| | 4500 | × | 12 | × | 9 10 | − | 60 100 | × | 70 | X | × | 139 2000 | = | 19 500 | ( | 40 100 | × | 70 | X | + | 50 100 | × | 70 | X | ) |
Remove a bracket on the right of the equation::
| | 4500 | × | 12 | × | 9 10 | − | 60 100 | × | 70 | X | × | 139 2000 | = | 19 500 | × | 40 100 | × | 70 | X | + | 19 500 | × | 50 100 | × | 70 | X |
The equation is reduced to :
| | 48600 | − | 2919 1000 | X | = | 133 125 | X | + | 133 100 | X |
The equation is reduced to :
| | 48600 | − | 2919 1000 | X | = | 1197 500 | X |
Transposition :
| | - | 2919 1000 | X | − | 1197 500 | X | = | - | 48600 |
Combine the items on the left of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
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