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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 10.31 = 14.9x➕4.6（100-x）➗100 .
Question type: Equation
Solution:Original question:
1031 100 | = | 149 10 | x | + | 23 5 | ( | 100 | − | x | ) | ÷ | 100 |
| Right side of the equation = | 149 10 | x | + | 23 500 | ( | 100 | − | x | ) |
1031 100 | = | 149 10 | x | + | 23 500 | ( | 100 | − | x | ) |
| Right side of the equation = | 149 10 | x | + | 23 500 | × | 100 | − | 23 500 | x |
| = | 149 10 | x | + | 23 5 | − | 23 500 | x |
| = | 7427 500 | x | + | 23 5 |
1031 100 | = | 7427 500 | x | + | 23 5 |
Transposition :
| - | 7427 500 | x | = | 23 5 | − | 1031 100 |
Combine the items on the right of the equation:
| - | 7427 500 | x | = | - | 571 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
571 100 | = | 7427 500 | 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 :
7427 500 | x | = | 571 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 571 100 | ÷ | 7427 500 |
| = | 571 100 | × | 500 7427 |
| = | 571 | × | 5 7427 |
We obtained :
| x | = | 2855 7427 |
Convert the result to decimal form :
| x | = | 0.384408 |