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 （1392657.51-X）/1.13*0.13+X/1.09*0.09 = 53203.4 .
Question type: Equation
Solution:Original question:
| ( | 139265751 100 | − | X | ) | ÷ | 113 100 | × | 13 100 | + | X | ÷ | 109 100 | × | 9 100 | = | 266017 5 |
| Left side of the equation = | ( | 139265751 100 | − | X | ) | × | 13 113 | + | X | × | 9 109 |
| ( | 139265751 100 | − | X | ) | × | 13 113 | + | 9 109 | X | = | 266017 5 |
| Left side of the equation = | 139265751 100 | × | 13 113 | − | X | × | 13 113 | + | 9 109 | X |
| = | 1810454763 11300 | − | X | × | 13 113 | + | 9 109 | X |
| = | 1810454763 11300 | − | 400 12317 | X |
1810454763 11300 | − | 400 12317 | X | = | 266017 5 |
Transposition :
| - | 400 12317 | X | = | 266017 5 | − | 1810454763 11300 |
Combine the items on the right of the equation:
| - | 400 12317 | X | = | - | 1209256343 11300 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1209256343 11300 | = | 400 12317 | 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 :
400 12317 | X | = | 1209256343 11300 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1209256343 11300 | ÷ | 400 12317 |
| = | 1209256343 11300 | × | 12317 400 |
We obtained :
| X | = | 14894410376731 4520000 |