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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 7.4110 = 6.70825*x+(1-x)*1.9923 .
Question type: Equation
Solution:Original question:
7411 1000 | = | 26833 4000 | x | + | ( | 1 | − | x | ) | × | 19923 10000 |
| Right side of the equation = | 26833 4000 | x | + | 1 | × | 19923 10000 | − | x | × | 19923 10000 |
| = | 26833 4000 | x | + | 19923 10000 | − | x | × | 19923 10000 |
| = | 94319 20000 | x | + | 19923 10000 |
7411 1000 | = | 94319 20000 | x | + | 19923 10000 |
Transposition :
| - | 94319 20000 | x | = | 19923 10000 | − | 7411 1000 |
Combine the items on the right of the equation:
| - | 94319 20000 | x | = | - | 54187 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
54187 10000 | = | 94319 20000 | 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 :
94319 20000 | x | = | 54187 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 54187 10000 | ÷ | 94319 20000 |
| = | 54187 10000 | × | 20000 94319 |
| = | 54187 | × | 2 94319 |
We obtained :
| x | = | 108374 94319 |
Convert the result to decimal form :
| x | = | 1.149016 |