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Work: Find the solution of equation 1500/x*6+(x-1500)/x*16% = 13.09% .
Question type: Equation
Solution:Original question:| | 1500 | ÷ | x | × | 6 | + | ( | x | − | 1500 | ) | ÷ | x | × | 16 100 | = | 1309 10000 |
| Multiply both sides of the equation by: | x |
| | 1500 | × | 6 | + | ( | x | − | 1500 | ) | ÷ | 1 | × | 16 100 | × | 1 | = | 1309 10000 | x |
Remove a bracket on the left of the equation::
| | 1500 | × | 6 | + | x | ÷ | 1 | × | 16 100 | × | 1 | − | 1500 | ÷ | 1 | × | 16 100 | × | 1 | = | 1309 10000 | x |
The equation is reduced to :
| | 9000 | + | x | × | 4 25 | − | 240 | = | 1309 10000 | x |
The equation is reduced to :
| | 8760 | + | 4 25 | x | = | 1309 10000 | x |
Transposition :
| | 4 25 | x | − | 1309 10000 | x | = | - | 8760 |
Combine the items on the left of the equation:
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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