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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 181/856*(100000-x) = 0.09/100*x .
Question type: Equation
Solution:Original question:
| 181 | ÷ | 856 | × | ( | 100000 | − | x | ) | = | 9 100 | ÷ | 100 | × | x |
| Left side of the equation = | 181 856 | ( | 100000 | − | x | ) |
181 856 | ( | 100000 | − | x | ) | = | 9 100 | ÷ | 100 | × | x |
| Left side of the equation = | 181 856 | × | 100000 | − | 181 856 | x |
| = | 2262500 107 | − | 181 856 | x |
2262500 107 | − | 181 856 | x | = | 9 100 | ÷ | 100 | × | x |
| Right side of the equation = | 9 10000 | x |
2262500 107 | − | 181 856 | x | = | 9 10000 | x |
Transposition :
| - | 181 856 | x | − | 9 10000 | x | = | - | 2262500 107 |
Combine the items on the left of the equation:
| - | 227213 1070000 | x | = | - | 2262500 107 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2262500 107 | = | 227213 1070000 | 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 :
227213 1070000 | x | = | 2262500 107 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2262500 107 | ÷ | 227213 1070000 |
| = | 2262500 107 | × | 1070000 227213 |
We obtained :
| x | = | 2420875000000 24311791 |