Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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-1018.95-5000）*0.03 = X-9693.06-1018.95 .
Question type: Equation
Solution:Original question:
| ( | X | − | 20379 20 | − | 5000 | ) | × | 3 100 | = | X | − | 484653 50 | − | 20379 20 |
| Left side of the equation = | X | × | 3 100 | − | 20379 20 | × | 3 100 | − | 5000 | × | 3 100 |
| = | X | × | 3 100 | − | 61137 2000 | − | 150 |
| = | 3 100 | X | − | 361137 2000 |
3 100 | X | − | 361137 2000 | = | X | − | 484653 50 | − | 20379 20 |
| Right side of the equation = | X | − | 1071201 100 |
3 100 | X | − | 361137 2000 | = | X | − | 1071201 100 |
Transposition :
3 100 | X | − | X | = | - | 1071201 100 | + | 361137 2000 |
Combine the items on the left of the equation:
| - | 97 100 | X | = | - | 1071201 100 | + | 361137 2000 |
Combine the items on the right of the equation:
| - | 97 100 | X | = | - | 21062883 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
21062883 2000 | = | 97 100 | 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 :
97 100 | X | = | 21062883 2000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 21062883 2000 | ÷ | 97 100 |
| = | 21062883 2000 | × | 100 97 |
| = | 21062883 20 | × | 1 97 |
We obtained :
| X | = | 21062883 1940 |
Convert the result to decimal form :
| X | = | 10857.156186 |