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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 （35-30）/（40-30） = （X-0.0785)/(0.0655-0.0785) .
Question type: Equation
Solution:Original question:
| ( | 35 | − | 30 | ) | ÷ | ( | 40 | − | 30 | ) | = | ( | X | − | 157 2000 | ) | ÷ | ( | 131 2000 | − | 157 2000 | ) |
| Multiply both sides of the equation by: | ( | 40 | − | 30 | ) | , | ( | 131 2000 | − | 157 2000 | ) |
| ( | 35 | − | 30 | ) | ( | 131 2000 | − | 157 2000 | ) | = | ( | X | − | 157 2000 | ) | ( | 40 | − | 30 | ) |
| 35 | ( | 131 2000 | − | 157 2000 | ) | − | 30 | ( | 131 2000 | − | 157 2000 | ) | = | ( | X | − | 157 2000 | ) | ( | 40 | − | 30 | ) |
| 35 | ( | 131 2000 | − | 157 2000 | ) | − | 30 | ( | 131 2000 | − | 157 2000 | ) | = | X | ( | 40 | − | 30 | ) | − | 157 2000 | ( | 40 | − | 30 | ) |
| 35 | × | 131 2000 | − | 35 | × | 157 2000 | − | 30 | ( | 131 2000 | − | 157 2000 | ) | = | X | ( | 40 | − | 30 | ) | − | 157 2000 | ( | 40 | − | 30 | ) |
| 35 | × | 131 2000 | − | 35 | × | 157 2000 | − | 30 | ( | 131 2000 | − | 157 2000 | ) | = | X | × | 40 | − | X | × | 30 | − | 157 2000 | ( | 40 | − | 30 | ) |
917 400 | − | 1099 400 | − | 30 | ( | 131 2000 | − | 157 2000 | ) | = | X | × | 40 | − | X | × | 30 | − | 157 2000 | ( | 40 | − | 30 | ) |
| - | 91 200 | − | 30 | ( | 131 2000 | − | 157 2000 | ) | = | 10 | X | − | 157 2000 | ( | 40 | − | 30 | ) |
| - | 91 200 | − | 30 | × | 131 2000 | + | 30 | × | 157 2000 | = | 10 | X | − | 157 2000 | ( | 40 | − | 30 | ) |
| - | 91 200 | − | 30 | × | 131 2000 | + | 30 | × | 157 2000 | = | 10 | X | − | 157 2000 | × | 40 | + | 157 2000 | × | 30 |
| - | 91 200 | − | 393 200 | + | 471 200 | = | 10 | X | − | 157 50 | + | 471 200 |
| - | 13 200 | = | 10 | X | − | 157 200 |
Transposition :
| - | 10 | X | = | - | 157 200 | + | 13 200 |
Combine the items on the right of the equation:
| - | 10 | X | = | - | 18 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
18 25 | = | 10 | 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 :
| 10 | X | = | 18 25 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 18 25 | ÷ | 10 |
| = | 18 25 | × | 1 10 |
| = | 9 25 | × | 1 5 |
We obtained :
| X | = | 9 125 |
Convert the result to decimal form :
| X | = | 0.072 |