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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－x）×0.84 = （60－x）÷0.61 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （100－x）×0.84 = （60－x）÷0.61 .
Question type: Equation
Solution:Original question:
| ( | 100 | − | x | ) | × | 21 25 | = | ( | 60 | − | x | ) | ÷ | 61 100 |
| Left side of the equation = | 100 | × | 21 25 | − | x | × | 21 25 |
| = | 84 | − | x | × | 21 25 |
| 84 | − | 21 25 | x | = | ( | 60 | − | x | ) | ÷ | 61 100 |
| Right side of the equation = | 60 | × | 100 61 | − | x | × | 100 61 |
| = | 6000 61 | − | x | × | 100 61 |
| 84 | − | 21 25 | x | = | 6000 61 | − | 100 61 | x |
Transposition :
| - | 21 25 | x | + | 100 61 | x | = | 6000 61 | − | 84 |
Combine the items on the left of the equation:
1219 1525 | x | = | 6000 61 | − | 84 |
Combine the items on the right of the equation:
1219 1525 | x | = | 876 61 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 876 61 | ÷ | 1219 1525 |
| = | 876 61 | × | 1525 1219 |
| = | 876 | × | 25 1219 |
We obtained :
| x | = | 21900 1219 |
Convert the result to decimal form :
| x | = | 17.965546 |