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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/87-20/1100-10/200 = 0.001905(x+30） .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | 20 | ÷ | 1100 | − | 10 | ÷ | 200 | = | 381 200000 | ( | X | + | 30 | ) |
| Left side of the equation = | X | × | 1 87 | − | 1 55 | − | 1 20 |
| = | 1 87 | X | − | 3 44 |
1 87 | X | − | 3 44 | = | 381 200000 | ( | X | + | 30 | ) |
| Right side of the equation = | 381 200000 | X | + | 381 200000 | × | 30 |
| = | 381 200000 | X | + | 1143 20000 |
1 87 | X | − | 3 44 | = | 381 200000 | X | + | 1143 20000 |
Transposition :
1 87 | X | − | 381 200000 | X | = | 1143 20000 | + | 3 44 |
Combine the items on the left of the equation:
166853 17400000 | X | = | 1143 20000 | + | 3 44 |
Combine the items on the right of the equation:
166853 17400000 | X | = | 27573 220000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 27573 220000 | ÷ | 166853 17400000 |
| = | 27573 220000 | × | 17400000 166853 |
| = | 27573 11 | × | 870 166853 |
We obtained :
| X | = | 23988510 1835383 |
Convert the result to decimal form :
| X | = | 13.07003 |