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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 x/0.09+（9218.11-x）/0.13 = 92717.02 .
Question type: Equation
Solution:Original question:
| x | ÷ | 9 100 | + | ( | 921811 100 | − | x | ) | ÷ | 13 100 | = | 4635851 50 |
| Left side of the equation = | 100 9 | x | + | 921811 100 | × | 100 13 | − | x | × | 100 13 |
| = | 100 9 | x | + | 921811 13 | − | x | × | 100 13 |
| = | 400 117 | x | + | 921811 13 |
400 117 | x | + | 921811 13 | = | 4635851 50 |
Transposition :
400 117 | x | = | 4635851 50 | − | 921811 13 |
Combine the items on the right of the equation:
400 117 | x | = | 14175513 650 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 14175513 650 | ÷ | 400 117 |
| = | 14175513 650 | × | 117 400 |
We obtained :
| x | = | 1658535021 260000 |
By reducing fraction, we can get:
| x | = | 127579617 20000 |
Convert the result to decimal form :
| x | = | 6378.98085 |