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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/167+(67.8-X)/1000+10/133.58 = 0.235 .
Question type: Equation
Solution:Original question:
| X | ÷ | 167 | + | ( | 339 5 | − | X | ) | ÷ | 1000 | + | 10 | ÷ | 6679 50 | = | 47 200 |
| Left side of the equation = | X | × | 1 167 | + | ( | 339 5 | − | X | ) | × | 1 1000 | + | 500 6679 |
1 167 | X | + | ( | 339 5 | − | X | ) | × | 1 1000 | + | 500 6679 | = | 47 200 |
| Left side of the equation = | 1 167 | X | + | 339 5 | × | 1 1000 | − | X | × | 1 1000 | + | 500 6679 |
| = | 1 167 | X | + | 339 5000 | − | X | × | 1 1000 | + | 500 6679 |
| = | 833 167000 | X | + | 4764181 33395000 |
833 167000 | X | + | 4764181 33395000 | = | 47 200 |
Transposition :
833 167000 | X | = | 47 200 | − | 4764181 33395000 |
Combine the items on the right of the equation:
833 167000 | X | = | 770911 8348750 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 770911 8348750 | ÷ | 833 167000 |
| = | 770911 8348750 | × | 167000 833 |
| = | 770911 33395 | × | 668 833 |
We obtained :
| X | = | 514968548 27818035 |
Convert the result to decimal form :
| X | = | 18.512039 |