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-5000-3224）*0.03 = X-9693.06-3224 .
Question type: Equation
Solution:Original question:
| ( | X | − | 5000 | − | 3224 | ) | × | 3 100 | = | X | − | 484653 50 | − | 3224 |
| Left side of the equation = | X | × | 3 100 | − | 5000 | × | 3 100 | − | 3224 | × | 3 100 |
| = | X | × | 3 100 | − | 150 | − | 2418 25 |
| = | 3 100 | X | − | 6168 25 |
3 100 | X | − | 6168 25 | = | X | − | 484653 50 | − | 3224 |
| Right side of the equation = | X | − | 645853 50 |
3 100 | X | − | 6168 25 | = | X | − | 645853 50 |
Transposition :
3 100 | X | − | X | = | - | 645853 50 | + | 6168 25 |
Combine the items on the left of the equation:
| - | 97 100 | X | = | - | 645853 50 | + | 6168 25 |
Combine the items on the right of the equation:
| - | 97 100 | X | = | - | 633517 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
633517 50 | = | 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 | = | 633517 50 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 633517 50 | ÷ | 97 100 |
| = | 633517 50 | × | 100 97 |
| = | 633517 | × | 2 97 |
We obtained :
| X | = | 1267034 97 |
Convert the result to decimal form :
| X | = | 13062.206186 |