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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 200*0.0793+x*0.0293 = （200+x）*0.033 .
Question type: Equation
Solution:Original question:
| 200 | × | 793 10000 | + | x | × | 293 10000 | = | ( | 200 | + | x | ) | × | 33 1000 |
| Left side of the equation = | 793 50 | + | x | × | 293 10000 |
793 50 | + | 293 10000 | x | = | ( | 200 | + | x | ) | × | 33 1000 |
| Right side of the equation = | 200 | × | 33 1000 | + | x | × | 33 1000 |
| = | 33 5 | + | x | × | 33 1000 |
793 50 | + | 293 10000 | x | = | 33 5 | + | 33 1000 | x |
Transposition :
293 10000 | x | − | 33 1000 | x | = | 33 5 | − | 793 50 |
Combine the items on the left of the equation:
| - | 37 10000 | x | = | 33 5 | − | 793 50 |
Combine the items on the right of the equation:
| - | 37 10000 | x | = | - | 463 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
463 50 | = | 37 10000 | 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 10000 | x | = | 463 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 463 50 | ÷ | 37 10000 |
| = | 463 50 | × | 10000 37 |
| = | 463 | × | 200 37 |
We obtained :
| x | = | 92600 37 |
Convert the result to decimal form :
| x | = | 2502.702703 |