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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 100*20+x*58.7 = (100+x)*25 .
Question type: Equation
Solution:Original question:
| 100 | × | 20 | + | x | × | 587 10 | = | ( | 100 | + | x | ) | × | 25 |
| Left side of the equation = | 2000 | + | x | × | 587 10 |
| 2000 | + | 587 10 | x | = | ( | 100 | + | x | ) | × | 25 |
| Right side of the equation = | 100 | × | 25 | + | x | × | 25 |
| = | 2500 | + | x | × | 25 |
| 2000 | + | 587 10 | x | = | 2500 | + | 25 | x |
Transposition :
587 10 | x | − | 25 | x | = | 2500 | − | 2000 |
Combine the items on the left of the equation:
337 10 | x | = | 2500 | − | 2000 |
Combine the items on the right of the equation:
337 10 | x | = | 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 500 | ÷ | 337 10 |
| = | 500 | × | 10 337 |
We obtained :
| x | = | 5000 337 |
Convert the result to decimal form :
| x | = | 14.836795 |