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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 (437.81-200)/(500-200) = (x-9)/(20.9-9) .
Question type: Equation
Solution:Original question:
| ( | 43781 100 | − | 200 | ) | ÷ | ( | 500 | − | 200 | ) | = | ( | x | − | 9 | ) | ÷ | ( | 209 10 | − | 9 | ) |
| Multiply both sides of the equation by: | ( | 500 | − | 200 | ) | , | ( | 209 10 | − | 9 | ) |
| ( | 43781 100 | − | 200 | ) | ( | 209 10 | − | 9 | ) | = | ( | x | − | 9 | ) | ( | 500 | − | 200 | ) |
43781 100 | ( | 209 10 | − | 9 | ) | − | 200 | ( | 209 10 | − | 9 | ) | = | ( | x | − | 9 | ) | ( | 500 | − | 200 | ) |
43781 100 | ( | 209 10 | − | 9 | ) | − | 200 | ( | 209 10 | − | 9 | ) | = | x | ( | 500 | − | 200 | ) | − | 9 | ( | 500 | − | 200 | ) |
43781 100 | × | 209 10 | − | 43781 100 | × | 9 | − | 200 | ( | 209 10 | − | 9 | ) | = | x | ( | 500 | − | 200 | ) | − | 9 | ( | 500 | − | 200 | ) |
43781 100 | × | 209 10 | − | 43781 100 | × | 9 | − | 200 | ( | 209 10 | − | 9 | ) | = | x | × | 500 | − | x | × | 200 | − | 9 | ( | 500 | − | 200 | ) |
9150229 1000 | − | 394029 100 | − | 200 | ( | 209 10 | − | 9 | ) | = | x | × | 500 | − | x | × | 200 | − | 9 | ( | 500 | − | 200 | ) |
5209939 1000 | − | 200 | ( | 209 10 | − | 9 | ) | = | 300 | x | − | 9 | ( | 500 | − | 200 | ) |
5209939 1000 | − | 200 | × | 209 10 | + | 200 | × | 9 | = | 300 | x | − | 9 | ( | 500 | − | 200 | ) |
5209939 1000 | − | 200 | × | 209 10 | + | 200 | × | 9 | = | 300 | x | − | 9 | × | 500 | + | 9 | × | 200 |
5209939 1000 | − | 4180 | + | 1800 | = | 300 | x | − | 4500 | + | 1800 |
2829939 1000 | = | 300 | x | − | 2700 |
Transposition :
| - | 300 | x | = | - | 2700 | − | 2829939 1000 |
Combine the items on the right of the equation:
| - | 300 | x | = | - | 5529939 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
5529939 1000 | = | 300 | 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 :
| 300 | x | = | 5529939 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5529939 1000 | ÷ | 300 |
| = | 5529939 1000 | × | 1 300 |
| = | 1843313 1000 | × | 1 100 |
We obtained :
| x | = | 1843313 100000 |
Convert the result to decimal form :
| x | = | 18.43313 |