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 （6%-x)/(6%-7%) = (8925.41-8782.6)/(8925.41-8681.95) .
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:
Remove a bracket on the right of the equation:：
The equation is reduced to :
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 （6%-x)/(6%-7%) = (8925.41-8782.6)/(8925.41-8681.95) .
Question type: Equation
Solution:Original question:
| ( | 6 100 | − | x | ) | ÷ | ( | 6 100 | − | 7 100 | ) | = | ( | 892541 100 | − | 43913 5 | ) | ÷ | ( | 892541 100 | − | 173639 20 | ) |
| Multiply both sides of the equation by: | ( | 6 100 | − | 7 100 | ) | , | ( | 892541 100 | − | 173639 20 | ) |
| ( | 6 100 | − | x | ) | ( | 892541 100 | − | 173639 20 | ) | = | ( | 892541 100 | − | 43913 5 | ) | ( | 6 100 | − | 7 100 | ) |
6 100 | ( | 892541 100 | − | 173639 20 | ) | − | x | ( | 892541 100 | − | 173639 20 | ) | = | ( | 892541 100 | − | 43913 5 | ) | ( | 6 100 | − | 7 100 | ) |
6 100 | ( | 892541 100 | − | 173639 20 | ) | − | x | ( | 892541 100 | − | 173639 20 | ) | = | 892541 100 | ( | 6 100 | − | 7 100 | ) | − | 43913 5 | ( | 6 100 | − | 7 100 | ) |
6 100 | × | 892541 100 | − | 6 100 | × | 173639 20 | − | x | ( | 892541 100 | − | 173639 20 | ) | = | 892541 100 | ( | 6 100 | − | 7 100 | ) | − | 43913 5 | ( | 6 100 | − | 7 100 | ) |
6 100 | × | 892541 100 | − | 6 100 | × | 173639 20 | − | x | ( | 892541 100 | − | 173639 20 | ) | = | 892541 100 | × | 6 100 | − | 892541 100 | × | 7 100 | − | 43913 5 | ( | 6 100 | − | 7 100 | ) |
2677623 5000 | − | 520917 1000 | − | x | ( | 892541 100 | − | 173639 20 | ) | = | 2677623 5000 | − | 6247787 10000 | − | 43913 5 | ( | 6 100 | − | 7 100 | ) |
36519 2500 | − | x | ( | 892541 100 | − | 173639 20 | ) | = | - | 892541 10000 | − | 43913 5 | ( | 6 100 | − | 7 100 | ) |
36519 2500 | − | x | × | 892541 100 | + | x | × | 173639 20 | = | - | 892541 10000 | − | 43913 5 | ( | 6 100 | − | 7 100 | ) |
36519 2500 | − | x | × | 892541 100 | + | x | × | 173639 20 | = | - | 892541 10000 | − | 43913 5 | × | 6 100 | + | 43913 5 | × | 7 100 |
36519 2500 | − | x | × | 892541 100 | + | x | × | 173639 20 | = | - | 892541 10000 | − | 131739 250 | + | 307391 500 |
36519 2500 | − | 12173 50 | x | = | - | 14281 10000 |
Transposition :
| - | 12173 50 | x | = | - | 14281 10000 | − | 36519 2500 |
Combine the items on the right of the equation:
| - | 12173 50 | x | = | - | 160357 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
160357 10000 | = | 12173 50 | 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 :
12173 50 | x | = | 160357 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 160357 10000 | ÷ | 12173 50 |
| = | 160357 10000 | × | 50 12173 |
| = | 160357 200 | × | 1 12173 |
We obtained :
| x | = | 160357 2434600 |
Convert the result to decimal form :
| x | = | 0.065866 |