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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 （90-80）/（31.65-35.65） = （81.14-80）/（x-35.65） .
Question type: Equation
Solution:Original question:
| ( | 90 | − | 80 | ) | ÷ | ( | 633 20 | − | 713 20 | ) | = | ( | 4057 50 | − | 80 | ) | ÷ | ( | x | − | 713 20 | ) |
| Multiply both sides of the equation by: | ( | 633 20 | − | 713 20 | ) | , | ( | x | − | 713 20 | ) |
| ( | 90 | − | 80 | ) | ( | x | − | 713 20 | ) | = | ( | 4057 50 | − | 80 | ) | ( | 633 20 | − | 713 20 | ) |
| 90 | ( | x | − | 713 20 | ) | − | 80 | ( | x | − | 713 20 | ) | = | ( | 4057 50 | − | 80 | ) | ( | 633 20 | − | 713 20 | ) |
| 90 | ( | x | − | 713 20 | ) | − | 80 | ( | x | − | 713 20 | ) | = | 4057 50 | ( | 633 20 | − | 713 20 | ) | − | 80 | ( | 633 20 | − | 713 20 | ) |
| 90 | x | − | 90 | × | 713 20 | − | 80 | ( | x | − | 713 20 | ) | = | 4057 50 | ( | 633 20 | − | 713 20 | ) | − | 80 | ( | 633 20 | − | 713 20 | ) |
| 90 | x | − | 90 | × | 713 20 | − | 80 | ( | x | − | 713 20 | ) | = | 4057 50 | × | 633 20 | − | 4057 50 | × | 713 20 | − | 80 | ( | 633 20 | − | 713 20 | ) |
| 90 | x | − | 6417 2 | − | 80 | ( | x | − | 713 20 | ) | = | 2568081 1000 | − | 2892641 1000 | − | 80 | ( | 633 20 | − | 713 20 | ) |
| 90 | x | − | 6417 2 | − | 80 | ( | x | − | 713 20 | ) | = | - | 8114 25 | − | 80 | ( | 633 20 | − | 713 20 | ) |
| 90 | x | − | 6417 2 | − | 80 | x | + | 80 | × | 713 20 | = | - | 8114 25 | − | 80 | ( | 633 20 | − | 713 20 | ) |
| 90 | x | − | 6417 2 | − | 80 | x | + | 80 | × | 713 20 | = | - | 8114 25 | − | 80 | × | 633 20 | + | 80 | × | 713 20 |
| 90 | x | − | 6417 2 | − | 80 | x | + | 2852 | = | - | 8114 25 | − | 2532 | + | 2852 |
| 10 | x | − | 713 2 | = | - | 114 25 |
Transposition :
| 10 | x | = | - | 114 25 | + | 713 2 |
Combine the items on the right of the equation:
| 10 | x | = | 17597 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 17597 50 | ÷ | 10 |
| = | 17597 50 | × | 1 10 |
We obtained :
| x | = | 17597 500 |
Convert the result to decimal form :
| x | = | 35.194 |