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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 (x-0.07)/0.01 = (4-4.1002)/(3.9927-4.1002) .
Question type: Equation
Solution:Original question:
| ( | x | − | 7 100 | ) | ÷ | 1 100 | = | ( | 4 | − | 20501 5000 | ) | ÷ | ( | 39927 10000 | − | 20501 5000 | ) |
| Multiply both sides of the equation by: | ( | 39927 10000 | − | 20501 5000 | ) |
| ( | x | − | 7 100 | ) | ÷ | 1 100 | × | ( | 39927 10000 | − | 20501 5000 | ) | = | ( | 4 | − | 20501 5000 | ) |
| x | ÷ | 1 100 | × | ( | 39927 10000 | − | 20501 5000 | ) | − | 7 100 | ÷ | 1 100 | × | ( | 39927 10000 | − | 20501 5000 | ) | = | ( | 4 | − | 20501 5000 | ) |
| x | ÷ | 1 100 | × | ( | 39927 10000 | − | 20501 5000 | ) | − | 7 100 | ÷ | 1 100 | × | ( | 39927 10000 | − | 20501 5000 | ) | = | 4 | − | 20501 5000 |
| x | × | 100 | ( | 39927 10000 | − | 20501 5000 | ) | − | 7 | ( | 39927 10000 | − | 20501 5000 | ) | = | 4 | − | 20501 5000 |
| x | × | 100 | ( | 39927 10000 | − | 20501 5000 | ) | − | 7 | ( | 39927 10000 | − | 20501 5000 | ) | = | - | 501 5000 |
| x | × | 100 | × | 39927 10000 | − | x | × | 100 | × | 20501 5000 | − | 7 | ( | 39927 10000 | − | 20501 5000 | ) | = | - | 501 5000 |
| x | × | 39927 100 | − | x | × | 20501 50 | − | 7 | ( | 39927 10000 | − | 20501 5000 | ) | = | - | 501 5000 |
| - | 43 4 | x | − | 7 | ( | 39927 10000 | − | 20501 5000 | ) | = | - | 501 5000 |
| - | 43 4 | x | − | 7 | × | 39927 10000 | + | 7 | × | 20501 5000 | = | - | 501 5000 |
| - | 43 4 | x | − | 279489 10000 | + | 143507 5000 | = | - | 501 5000 |
| - | 43 4 | x | + | 301 400 | = | - | 501 5000 |
Transposition :
| - | 43 4 | x | = | - | 501 5000 | − | 301 400 |
Combine the items on the right of the equation:
| - | 43 4 | x | = | - | 8527 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
8527 10000 | = | 43 4 | 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 :
43 4 | x | = | 8527 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8527 10000 | ÷ | 43 4 |
| = | 8527 10000 | × | 4 43 |
| = | 8527 2500 | × | 1 43 |
We obtained :
| x | = | 8527 107500 |
Convert the result to decimal form :
| x | = | 0.079321 |