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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+(8123.83-x)*0.13 = 760.67 .
Question type: Equation
Solution:Original question:
| x | × | 9 100 | + | ( | 812383 100 | − | x | ) | × | 13 100 | = | 76067 100 |
| Left side of the equation = | 9 100 | x | + | 812383 100 | × | 13 100 | − | x | × | 13 100 |
| = | 9 100 | x | + | 10560979 10000 | − | x | × | 13 100 |
| = | - | 1 25 | x | + | 10560979 10000 |
| - | 1 25 | x | + | 10560979 10000 | = | 76067 100 |
Transposition :
| - | 1 25 | x | = | 76067 100 | − | 10560979 10000 |
Combine the items on the right of the equation:
| - | 1 25 | x | = | - | 2954279 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2954279 10000 | = | 1 25 | 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 :
1 25 | x | = | 2954279 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2954279 10000 | ÷ | 1 25 |
| = | 2954279 10000 | × | 25 |
| = | 2954279 400 | × | 1 |
We obtained :
| x | = | 2954279 400 |
Convert the result to decimal form :
| x | = | 7385.6975 |