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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 （1101.42-1067）/（1101.42-1019.29） = （4%-x）/（4%-5%） .
Question type: Equation
Solution:Original question:
| ( | 55071 50 | − | 1067 | ) | ÷ | ( | 55071 50 | − | 101929 100 | ) | = | ( | 4 100 | − | x | ) | ÷ | ( | 4 100 | − | 5 100 | ) |
| Multiply both sides of the equation by: | ( | 55071 50 | − | 101929 100 | ) | , | ( | 4 100 | − | 5 100 | ) |
| ( | 55071 50 | − | 1067 | ) | ( | 4 100 | − | 5 100 | ) | = | ( | 4 100 | − | x | ) | ( | 55071 50 | − | 101929 100 | ) |
55071 50 | ( | 4 100 | − | 5 100 | ) | − | 1067 | ( | 4 100 | − | 5 100 | ) | = | ( | 4 100 | − | x | ) | ( | 55071 50 | − | 101929 100 | ) |
55071 50 | ( | 4 100 | − | 5 100 | ) | − | 1067 | ( | 4 100 | − | 5 100 | ) | = | 4 100 | ( | 55071 50 | − | 101929 100 | ) | − | x | ( | 55071 50 | − | 101929 100 | ) |
55071 50 | × | 4 100 | − | 55071 50 | × | 5 100 | − | 1067 | ( | 4 100 | − | 5 100 | ) | = | 4 100 | ( | 55071 50 | − | 101929 100 | ) | − | x | ( | 55071 50 | − | 101929 100 | ) |
55071 50 | × | 4 100 | − | 55071 50 | × | 5 100 | − | 1067 | ( | 4 100 | − | 5 100 | ) | = | 4 100 | × | 55071 50 | − | 4 100 | × | 101929 100 | − | x | ( | 55071 50 | − | 101929 100 | ) |
55071 1250 | − | 55071 1000 | − | 1067 | ( | 4 100 | − | 5 100 | ) | = | 55071 1250 | − | 101929 2500 | − | x | ( | 55071 50 | − | 101929 100 | ) |
| - | 55071 5000 | − | 1067 | ( | 4 100 | − | 5 100 | ) | = | 8213 2500 | − | x | ( | 55071 50 | − | 101929 100 | ) |
| - | 55071 5000 | − | 1067 | × | 4 100 | + | 1067 | × | 5 100 | = | 8213 2500 | − | x | ( | 55071 50 | − | 101929 100 | ) |
| - | 55071 5000 | − | 1067 | × | 4 100 | + | 1067 | × | 5 100 | = | 8213 2500 | − | x | × | 55071 50 | + | x | × | 101929 100 |
| - | 55071 5000 | − | 1067 25 | + | 1067 20 | = | 8213 2500 | − | x | × | 55071 50 | + | x | × | 101929 100 |
| - | 1721 5000 | = | 8213 2500 | − | 8213 100 | x |
Transposition :
8213 100 | x | = | 8213 2500 | + | 1721 5000 |
Combine the items on the right of the equation:
8213 100 | x | = | 18147 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 18147 5000 | ÷ | 8213 100 |
| = | 18147 5000 | × | 100 8213 |
| = | 18147 50 | × | 1 8213 |
We obtained :
| x | = | 18147 410650 |
Convert the result to decimal form :
| x | = | 0.044191 |