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/1.13*0.13+(10000-X)/1.03*0.03 = 825.69 .
Question type: Equation
Solution:Original question:
| X | ÷ | 113 100 | × | 13 100 | + | ( | 10000 | − | X | ) | ÷ | 103 100 | × | 3 100 | = | 82569 100 |
| Left side of the equation = | X | × | 13 113 | + | ( | 10000 | − | X | ) | × | 3 103 |
13 113 | X | + | ( | 10000 | − | X | ) | × | 3 103 | = | 82569 100 |
| Left side of the equation = | 13 113 | X | + | 10000 | × | 3 103 | − | X | × | 3 103 |
| = | 13 113 | X | + | 30000 103 | − | X | × | 3 103 |
| = | 1000 11639 | X | + | 30000 103 |
1000 11639 | X | + | 30000 103 | = | 82569 100 |
Transposition :
1000 11639 | X | = | 82569 100 | − | 30000 103 |
Combine the items on the right of the equation:
1000 11639 | X | = | 5504607 10300 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 5504607 10300 | ÷ | 1000 11639 |
| = | 5504607 10300 | × | 11639 1000 |
We obtained :
| X | = | 64068120873 10300000 |