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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 （4000÷21）×x+（6000÷21）×（21-x） = 4727.27 .
Question type: Equation
Solution:Original question:
| ( | 4000 | ÷ | 21 | ) | x | + | ( | 6000 | ÷ | 21 | ) | ( | 21 | − | x | ) | = | 472727 100 |
| Left side of the equation = | 4000 | ÷ | 21 | × | x | + | ( | 6000 | ÷ | 21 | ) | ( | 21 | − | x | ) |
| = | 4000 21 | x | + | ( | 6000 | ÷ | 21 | ) | ( | 21 | − | x | ) |
| = | 4000 21 | x | + | 6000 | ÷ | 21 | × | ( | 21 | − | x | ) |
| = | 4000 21 | x | + | 2000 7 | ( | 21 | − | x | ) |
| = | 4000 21 | x | + | 2000 7 | × | 21 | − | 2000 7 | x |
| = | 4000 21 | x | + | 6000 | − | 2000 7 | x |
| = | - | 2000 21 | x | + | 6000 |
| - | 2000 21 | x | + | 6000 | = | 472727 100 |
Transposition :
| - | 2000 21 | x | = | 472727 100 | − | 6000 |
Combine the items on the right of the equation:
| - | 2000 21 | x | = | - | 127273 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
127273 100 | = | 2000 21 | 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 :
2000 21 | x | = | 127273 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 127273 100 | ÷ | 2000 21 |
| = | 127273 100 | × | 21 2000 |
We obtained :
| x | = | 2672733 200000 |
Convert the result to decimal form :
| x | = | 13.363665 |