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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 (5-x)/3 = 32.9/(92.9-51.9) .
Question type: Equation
Solution:Original question:
| ( | 5 | − | x | ) | ÷ | 3 | = | 329 10 | ÷ | ( | 929 10 | − | 519 10 | ) |
| Multiply both sides of the equation by: | ( | 929 10 | − | 519 10 | ) |
| ( | 5 | − | x | ) | ÷ | 3 | × | ( | 929 10 | − | 519 10 | ) | = | 329 10 |
| 5 | ÷ | 3 | × | ( | 929 10 | − | 519 10 | ) | − | x | ÷ | 3 | × | ( | 929 10 | − | 519 10 | ) | = | 329 10 |
5 3 | ( | 929 10 | − | 519 10 | ) | − | x | × | 1 3 | ( | 929 10 | − | 519 10 | ) | = | 329 10 |
5 3 | × | 929 10 | − | 5 3 | × | 519 10 | − | x | × | 1 3 | ( | 929 10 | − | 519 10 | ) | = | 329 10 |
929 6 | − | 173 2 | − | x | × | 1 3 | ( | 929 10 | − | 519 10 | ) | = | 329 10 |
205 3 | − | x | × | 1 3 | ( | 929 10 | − | 519 10 | ) | = | 329 10 |
205 3 | − | x | × | 1 3 | × | 929 10 | + | x | × | 1 3 | × | 519 10 | = | 329 10 |
205 3 | − | x | × | 929 30 | + | x | × | 173 10 | = | 329 10 |
205 3 | − | 41 3 | x | = | 329 10 |
Transposition :
| - | 41 3 | x | = | 329 10 | − | 205 3 |
Combine the items on the right of the equation:
| - | 41 3 | x | = | - | 1063 30 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1063 30 | = | 41 3 | 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 :
41 3 | x | = | 1063 30 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1063 30 | ÷ | 41 3 |
| = | 1063 30 | × | 3 41 |
| = | 1063 10 | × | 1 41 |
We obtained :
| x | = | 1063 410 |
Convert the result to decimal form :
| x | = | 2.592683 |