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 （x-5）/（5-6） = （1000-974.7）/（1088.83-1000） .
Question type: Equation
Solution:Original question:
| ( | x | − | 5 | ) | ÷ | ( | 5 | − | 6 | ) | = | ( | 1000 | − | 9747 10 | ) | ÷ | ( | 108883 100 | − | 1000 | ) |
| Multiply both sides of the equation by: | ( | 5 | − | 6 | ) | , | ( | 108883 100 | − | 1000 | ) |
| ( | x | − | 5 | ) | ( | 108883 100 | − | 1000 | ) | = | ( | 1000 | − | 9747 10 | ) | ( | 5 | − | 6 | ) |
| x | ( | 108883 100 | − | 1000 | ) | − | 5 | ( | 108883 100 | − | 1000 | ) | = | ( | 1000 | − | 9747 10 | ) | ( | 5 | − | 6 | ) |
| x | ( | 108883 100 | − | 1000 | ) | − | 5 | ( | 108883 100 | − | 1000 | ) | = | 1000 | ( | 5 | − | 6 | ) | − | 9747 10 | ( | 5 | − | 6 | ) |
| x | × | 108883 100 | − | x | × | 1000 | − | 5 | ( | 108883 100 | − | 1000 | ) | = | 1000 | ( | 5 | − | 6 | ) | − | 9747 10 | ( | 5 | − | 6 | ) |
| x | × | 108883 100 | − | x | × | 1000 | − | 5 | ( | 108883 100 | − | 1000 | ) | = | 1000 | × | 5 | − | 1000 | × | 6 | − | 9747 10 | ( | 5 | − | 6 | ) |
| x | × | 108883 100 | − | x | × | 1000 | − | 5 | ( | 108883 100 | − | 1000 | ) | = | 5000 | − | 6000 | − | 9747 10 | ( | 5 | − | 6 | ) |
8883 100 | x | − | 5 | ( | 108883 100 | − | 1000 | ) | = | - | 1000 | − | 9747 10 | ( | 5 | − | 6 | ) |
8883 100 | x | − | 5 | × | 108883 100 | + | 5 | × | 1000 | = | - | 1000 | − | 9747 10 | ( | 5 | − | 6 | ) |
8883 100 | x | − | 5 | × | 108883 100 | + | 5 | × | 1000 | = | - | 1000 | − | 9747 10 | × | 5 | + | 9747 10 | × | 6 |
8883 100 | x | − | 108883 20 | + | 5000 | = | - | 1000 | − | 9747 2 | + | 29241 5 |
8883 100 | x | − | 8883 20 | = | - | 253 10 |
Transposition :
8883 100 | x | = | - | 253 10 | + | 8883 20 |
Combine the items on the right of the equation:
8883 100 | x | = | 8377 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8377 20 | ÷ | 8883 100 |
| = | 8377 20 | × | 100 8883 |
| = | 8377 | × | 5 8883 |
We obtained :
| x | = | 41885 8883 |
Convert the result to decimal form :
| x | = | 4.715186 |