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Work: Find the solution of equation (9000-0.466*x)/(49.5*x) = 0.038 .
Question type: Equation
Solution:Original question:| | ( | 9000 | − | 233 500 | x | ) | ÷ | ( | 99 2 | x | ) | = | 19 500 |
| Multiply both sides of the equation by: | ( | 99 2 | x | ) |
| | ( | 9000 | − | 233 500 | x | ) | = | 19 500 | ( | 99 2 | x | ) |
Remove a bracket on the left of the equation::
| | 9000 | − | 233 500 | x | = | 19 500 | ( | 99 2 | x | ) |
Remove a bracket on the right of the equation::
| | 9000 | − | 233 500 | x | = | 19 500 | × | 99 2 | x |
The equation is reduced to :
| | 9000 | − | 233 500 | x | = | 1881 1000 | x |
Transposition :
| | - | 233 500 | x | − | 1881 1000 | x | = | - | 9000 |
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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