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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 （857+X）/(3747+X) = 23.79% .
Question type: Equation
Solution:Original question:
| ( | 857 | + | X | ) | ÷ | ( | 3747 | + | X | ) | = | 2379 10000 |
| Multiply both sides of the equation by: | ( | 3747 | + | X | ) |
| ( | 857 | + | X | ) | = | 2379 10000 | ( | 3747 | + | X | ) |
| 857 | + | X | = | 2379 10000 | ( | 3747 | + | X | ) |
| 857 | + | X | = | 2379 10000 | × | 3747 | + | 2379 10000 | X |
| 857 | + | X | = | 8914113 10000 | + | 2379 10000 | X |
Transposition :
| X | − | 2379 10000 | X | = | 8914113 10000 | − | 857 |
Combine the items on the left of the equation:
7621 10000 | X | = | 8914113 10000 | − | 857 |
Combine the items on the right of the equation:
7621 10000 | X | = | 344113 10000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 344113 10000 | ÷ | 7621 10000 |
| = | 344113 10000 | × | 10000 7621 |
| = | 344113 | × | 1 7621 |
We obtained :
| X | = | 344113 7621 |
Convert the result to decimal form :
| X | = | 45.153261 |