Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 （10%-x）/（10%-15%） = （496.66-0）/（496.66-139.31） .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the left of the equation:
The equation is reduced to :
Transposition :
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
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 （10%-x）/（10%-15%） = （496.66-0）/（496.66-139.31） .
Question type: Equation
Solution:Original question:
| ( | 10 100 | − | x | ) | ÷ | ( | 10 100 | − | 15 100 | ) | = | ( | 24833 50 | − | 0 | ) | ÷ | ( | 24833 50 | − | 13931 100 | ) |
| Multiply both sides of the equation by: | ( | 10 100 | − | 15 100 | ) | , | ( | 24833 50 | − | 13931 100 | ) |
| ( | 10 100 | − | x | ) | ( | 24833 50 | − | 13931 100 | ) | = | ( | 24833 50 | − | 0 | ) | ( | 10 100 | − | 15 100 | ) |
10 100 | ( | 24833 50 | − | 13931 100 | ) | − | x | ( | 24833 50 | − | 13931 100 | ) | = | ( | 24833 50 | − | 0 | ) | ( | 10 100 | − | 15 100 | ) |
10 100 | ( | 24833 50 | − | 13931 100 | ) | − | x | ( | 24833 50 | − | 13931 100 | ) | = | 24833 50 | ( | 10 100 | − | 15 100 | ) | − | 0 | ( | 10 100 | − | 15 100 | ) |
10 100 | × | 24833 50 | − | 10 100 | × | 13931 100 | − | x | ( | 24833 50 | − | 13931 100 | ) | = | 24833 50 | ( | 10 100 | − | 15 100 | ) | − | 0 | ( | 10 100 | − | 15 100 | ) |
10 100 | × | 24833 50 | − | 10 100 | × | 13931 100 | − | x | ( | 24833 50 | − | 13931 100 | ) | = | 24833 50 | × | 10 100 | − | 24833 50 | × | 15 100 | − | 0 | ( | 10 100 | − | 15 100 | ) |
24833 500 | − | 13931 1000 | − | x | ( | 24833 50 | − | 13931 100 | ) | = | 24833 500 | − | 74499 1000 | − | 0 | ( | 10 100 | − | 15 100 | ) |
7147 200 | − | x | ( | 24833 50 | − | 13931 100 | ) | = | - | 24833 1000 | − | 0 | ( | 10 100 | − | 15 100 | ) |
7147 200 | − | x | × | 24833 50 | + | x | × | 13931 100 | = | - | 24833 1000 |
7147 200 | − | 7147 20 | x | = | - | 24833 1000 |
Transposition :
| - | 7147 20 | x | = | - | 24833 1000 | − | 7147 200 |
Combine the items on the right of the equation:
| - | 7147 20 | x | = | - | 7571 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
7571 125 | = | 7147 20 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
7147 20 | x | = | 7571 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7571 125 | ÷ | 7147 20 |
| = | 7571 125 | × | 20 7147 |
| = | 7571 25 | × | 4 7147 |
We obtained :
| x | = | 30284 178675 |
Convert the result to decimal form :
| x | = | 0.169492 |