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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+(8974.37-x)/0.13 = 74977.74 .
Question type: Equation
Solution:Original question:
| x | ÷ | 9 100 | + | ( | 897437 100 | − | x | ) | ÷ | 13 100 | = | 3748887 50 |
| Left side of the equation = | 100 9 | x | + | 897437 100 | × | 100 13 | − | x | × | 100 13 |
| = | 100 9 | x | + | 897437 13 | − | x | × | 100 13 |
| = | 400 117 | x | + | 897437 13 |
400 117 | x | + | 897437 13 | = | 3748887 50 |
Transposition :
400 117 | x | = | 3748887 50 | − | 897437 13 |
Combine the items on the right of the equation:
400 117 | x | = | 3863681 650 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3863681 650 | ÷ | 400 117 |
| = | 3863681 650 | × | 117 400 |
We obtained :
| x | = | 452050677 260000 |
By reducing fraction, we can get:
| x | = | 34773129 20000 |
Convert the result to decimal form :
| x | = | 1738.65645 |