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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/87-0.5X/1000+（90-X）/135 = 0.262 .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | 1 2 | X | ÷ | 1000 | + | ( | 90 | − | X | ) | ÷ | 135 | = | 131 500 |
| Left side of the equation = | X | × | 1 87 | − | 1 2000 | X | + | ( | 90 | − | X | ) | × | 1 135 |
| = | 1913 174000 | X | + | ( | 90 | − | X | ) | × | 1 135 |
1913 174000 | X | + | ( | 90 | − | X | ) | × | 1 135 | = | 131 500 |
| Left side of the equation = | 1913 174000 | X | + | 90 | × | 1 135 | − | X | × | 1 135 |
| = | 1913 174000 | X | + | 2 3 | − | X | × | 1 135 |
| = | 5617 1566000 | X | + | 2 3 |
5617 1566000 | X | + | 2 3 | = | 131 500 |
Transposition :
5617 1566000 | X | = | 131 500 | − | 2 3 |
Combine the items on the right of the equation:
5617 1566000 | X | = | - | 607 1500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | - | 607 1500 | ÷ | 5617 1566000 |
| = | - | 607 1500 | × | 1566000 5617 |
| = | - | 607 | × | 1044 5617 |
We obtained :
| X | = | - | 633708 5617 |
Convert the result to decimal form :
| X | = | - 112.819655 |