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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 （93-30）/（40-30） = （x-0.0758）/（0.0655-0.0758） .
Question type: Equation
Solution:Original question:
| ( | 93 | − | 30 | ) | ÷ | ( | 40 | − | 30 | ) | = | ( | x | − | 379 5000 | ) | ÷ | ( | 131 2000 | − | 379 5000 | ) |
| Multiply both sides of the equation by: | ( | 40 | − | 30 | ) | , | ( | 131 2000 | − | 379 5000 | ) |
| ( | 93 | − | 30 | ) | ( | 131 2000 | − | 379 5000 | ) | = | ( | x | − | 379 5000 | ) | ( | 40 | − | 30 | ) |
| 93 | ( | 131 2000 | − | 379 5000 | ) | − | 30 | ( | 131 2000 | − | 379 5000 | ) | = | ( | x | − | 379 5000 | ) | ( | 40 | − | 30 | ) |
| 93 | ( | 131 2000 | − | 379 5000 | ) | − | 30 | ( | 131 2000 | − | 379 5000 | ) | = | x | ( | 40 | − | 30 | ) | − | 379 5000 | ( | 40 | − | 30 | ) |
| 93 | × | 131 2000 | − | 93 | × | 379 5000 | − | 30 | ( | 131 2000 | − | 379 5000 | ) | = | x | ( | 40 | − | 30 | ) | − | 379 5000 | ( | 40 | − | 30 | ) |
| 93 | × | 131 2000 | − | 93 | × | 379 5000 | − | 30 | ( | 131 2000 | − | 379 5000 | ) | = | x | × | 40 | − | x | × | 30 | − | 379 5000 | ( | 40 | − | 30 | ) |
12183 2000 | − | 35247 5000 | − | 30 | ( | 131 2000 | − | 379 5000 | ) | = | x | × | 40 | − | x | × | 30 | − | 379 5000 | ( | 40 | − | 30 | ) |
| - | 9579 10000 | − | 30 | ( | 131 2000 | − | 379 5000 | ) | = | 10 | x | − | 379 5000 | ( | 40 | − | 30 | ) |
| - | 9579 10000 | − | 30 | × | 131 2000 | + | 30 | × | 379 5000 | = | 10 | x | − | 379 5000 | ( | 40 | − | 30 | ) |
| - | 9579 10000 | − | 30 | × | 131 2000 | + | 30 | × | 379 5000 | = | 10 | x | − | 379 5000 | × | 40 | + | 379 5000 | × | 30 |
| - | 9579 10000 | − | 393 200 | + | 1137 500 | = | 10 | x | − | 379 125 | + | 1137 500 |
| - | 6489 10000 | = | 10 | x | − | 379 500 |
Transposition :
| - | 10 | x | = | - | 379 500 | + | 6489 10000 |
Combine the items on the right of the equation:
| - | 10 | x | = | - | 1091 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1091 10000 | = | 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 | = | 1091 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1091 10000 | ÷ | 10 |
| = | 1091 10000 | × | 1 10 |
We obtained :
| x | = | 1091 100000 |
Convert the result to decimal form :
| x | = | 0.01091 |