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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 1087*（1.199+X） = 1143*（1.061+X） .
Question type: Equation
Solution:Original question:
| 1087 | ( | 1199 1000 | + | X | ) | = | 1143 | ( | 1061 1000 | + | X | ) |
| Left side of the equation = | 1087 | × | 1199 1000 | + | 1087 | X |
| = | 1303313 1000 | + | 1087 | X |
1303313 1000 | + | 1087 | X | = | 1143 | ( | 1061 1000 | + | X | ) |
| Right side of the equation = | 1143 | × | 1061 1000 | + | 1143 | X |
| = | 1212723 1000 | + | 1143 | X |
1303313 1000 | + | 1087 | X | = | 1212723 1000 | + | 1143 | X |
Transposition :
| 1087 | X | − | 1143 | X | = | 1212723 1000 | − | 1303313 1000 |
Combine the items on the left of the equation:
| - | 56 | X | = | 1212723 1000 | − | 1303313 1000 |
Combine the items on the right of the equation:
| - | 56 | X | = | - | 9059 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9059 100 | = | 56 | 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 :
| 56 | X | = | 9059 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 9059 100 | ÷ | 56 |
| = | 9059 100 | × | 1 56 |
We obtained :
| X | = | 9059 5600 |
Convert the result to decimal form :
| X | = | 1.617679 |