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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 （61.7-x）1.1+0.73x = 100.0571 .
Question type: Equation
Solution:Original question:
| ( | 617 10 | − | x | ) | × | 11 10 | + | 73 100 | x | = | 1000571 10000 |
| Left side of the equation = | 617 10 | × | 11 10 | − | x | × | 11 10 | + | 73 100 | x |
| = | 6787 100 | − | x | × | 11 10 | + | 73 100 | x |
| = | 6787 100 | − | 37 100 | x |
6787 100 | − | 37 100 | x | = | 1000571 10000 |
Transposition :
| - | 37 100 | x | = | 1000571 10000 | − | 6787 100 |
Combine the items on the right of the equation:
| - | 37 100 | x | = | 321871 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 321871 10000 | = | 37 100 | 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 :
37 100 | x | = | - | 321871 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 321871 10000 | ÷ | 37 100 |
| = | - | 321871 10000 | × | 100 37 |
| = | - | 321871 100 | × | 1 37 |
We obtained :
| x | = | - | 321871 3700 |
Convert the result to decimal form :
| x | = | - 86.992162 |