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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÷49-（8100-x）÷51 = 7 .
Question type: Equation
Solution:Original question:
| x | ÷ | 49 | − | ( | 8100 | − | x | ) | ÷ | 51 | = | 7 |
| Left side of the equation = | 1 49 | x | − | 8100 | × | 1 51 | + | x | × | 1 51 |
| = | 1 49 | x | − | 2700 17 | + | x | × | 1 51 |
| = | 100 2499 | x | − | 2700 17 |
100 2499 | x | − | 2700 17 | = | 7 |
Transposition :
100 2499 | x | = | 7 | + | 2700 17 |
Combine the items on the right of the equation:
100 2499 | x | = | 2819 17 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2819 17 | ÷ | 100 2499 |
| = | 2819 17 | × | 2499 100 |
| = | 2819 | × | 147 100 |
We obtained :
| x | = | 414393 100 |
Convert the result to decimal form :
| x | = | 4143.93 |