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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 X/135-(100-x)/500 = 0.25 .
Question type: Equation
Solution:Original question:
| X | ÷ | 135 | − | ( | 100 | − | X | ) | ÷ | 500 | = | 1 4 |
| Left side of the equation = | 1 135 | X | − | 100 | × | 1 500 | + | X | × | 1 500 |
| = | 1 135 | X | − | 1 5 | + | X | × | 1 500 |
| = | 127 13500 | X | − | 1 5 |
127 13500 | X | − | 1 5 | = | 1 4 |
Transposition :
127 13500 | X | = | 1 4 | + | 1 5 |
Combine the items on the right of the equation:
127 13500 | X | = | 9 20 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 9 20 | ÷ | 127 13500 |
| = | 9 20 | × | 13500 127 |
| = | 9 | × | 675 127 |
We obtained :
| X | = | 6075 127 |
Convert the result to decimal form :
| X | = | 47.834646 |