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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/0.09+(5675.88-x)/0.13 = 46933.72 .
Question type: Equation
Solution:Original question:
| x | ÷ | 9 100 | + | ( | 141897 25 | − | x | ) | ÷ | 13 100 | = | 1173343 25 |
| Left side of the equation = | 100 9 | x | + | 141897 25 | × | 100 13 | − | x | × | 100 13 |
| = | 100 9 | x | + | 567588 13 | − | x | × | 100 13 |
| = | 400 117 | x | + | 567588 13 |
400 117 | x | + | 567588 13 | = | 1173343 25 |
Transposition :
400 117 | x | = | 1173343 25 | − | 567588 13 |
Combine the items on the right of the equation:
400 117 | x | = | 1063759 325 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1063759 325 | ÷ | 400 117 |
| = | 1063759 325 | × | 117 400 |
We obtained :
| x | = | 124459803 130000 |
By reducing fraction, we can get:
| x | = | 9573831 10000 |
Convert the result to decimal form :
| x | = | 957.3831 |