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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 (218+x)/(3396+x) = 6.6% .
Question type: Equation
Solution:Original question:
| ( | 218 | + | x | ) | ÷ | ( | 3396 | + | x | ) | = | 33 500 |
| Multiply both sides of the equation by: | ( | 3396 | + | x | ) |
| ( | 218 | + | x | ) | = | 33 500 | ( | 3396 | + | x | ) |
| 218 | + | x | = | 33 500 | ( | 3396 | + | x | ) |
| 218 | + | x | = | 33 500 | × | 3396 | + | 33 500 | x |
| 218 | + | x | = | 28017 125 | + | 33 500 | x |
Transposition :
| x | − | 33 500 | x | = | 28017 125 | − | 218 |
Combine the items on the left of the equation:
467 500 | x | = | 28017 125 | − | 218 |
Combine the items on the right of the equation:
467 500 | x | = | 767 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 767 125 | ÷ | 467 500 |
| = | 767 125 | × | 500 467 |
| = | 767 | × | 4 467 |
We obtained :
| x | = | 3068 467 |
Convert the result to decimal form :
| x | = | 6.569593 |