Equations
Unfold
Math OP
Fold
Linear algebra
Unfold
Solution inequality：
Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
It supports mathematical functions (including trigonometric functions).
Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (3%-2%）/(3%-X) = (113.738-118.851)/(113.738-116.4) .
Question type: Equation
Solution:Original question:
| ( | 3 100 | − | 2 100 | ) | ÷ | ( | 3 100 | − | X | ) | = | ( | 56869 500 | − | 118851 1000 | ) | ÷ | ( | 56869 500 | − | 582 5 | ) |
| Multiply both sides of the equation by: | ( | 3 100 | − | X | ) | , | ( | 56869 500 | − | 582 5 | ) |
| ( | 3 100 | − | 2 100 | ) | ( | 56869 500 | − | 582 5 | ) | = | ( | 56869 500 | − | 118851 1000 | ) | ( | 3 100 | − | X | ) |
3 100 | ( | 56869 500 | − | 582 5 | ) | − | 2 100 | ( | 56869 500 | − | 582 5 | ) | = | ( | 56869 500 | − | 118851 1000 | ) | ( | 3 100 | − | X | ) |
3 100 | ( | 56869 500 | − | 582 5 | ) | − | 2 100 | ( | 56869 500 | − | 582 5 | ) | = | 56869 500 | ( | 3 100 | − | X | ) | − | 118851 1000 | ( | 3 100 | − | X | ) |
3 100 | × | 56869 500 | − | 3 100 | × | 582 5 | − | 2 100 | ( | 56869 500 | − | 582 5 | ) | = | 56869 500 | ( | 3 100 | − | X | ) | − | 118851 1000 | ( | 3 100 | − | X | ) |
3 100 | × | 56869 500 | − | 3 100 | × | 582 5 | − | 2 100 | ( | 56869 500 | − | 582 5 | ) | = | 56869 500 | × | 3 100 | − | 56869 500 | X | − | 118851 1000 | ( | 3 100 | − | X | ) |
170607 50000 | − | 873 250 | − | 2 100 | ( | 56869 500 | − | 582 5 | ) | = | 170607 50000 | − | 56869 500 | X | − | 118851 1000 | ( | 3 100 | − | X | ) |
| - | 3993 50000 | − | 2 100 | ( | 56869 500 | − | 582 5 | ) | = | 170607 50000 | − | 56869 500 | X | − | 118851 1000 | ( | 3 100 | − | X | ) |
| - | 3993 50000 | − | 2 100 | × | 56869 500 | + | 2 100 | × | 582 5 | = | 170607 50000 | − | 56869 500 | X | − | 118851 1000 | ( | 3 100 | − | X | ) |
| - | 3993 50000 | − | 2 100 | × | 56869 500 | + | 2 100 | × | 582 5 | = | 170607 50000 | − | 56869 500 | X | − | 118851 1000 | × | 3 100 | + | 118851 1000 | X |
| - | 3993 50000 | − | 56869 25000 | + | 291 125 | = | 170607 50000 | − | 56869 500 | X | − | 356553 100000 | + | 118851 1000 | X |
| - | 1331 50000 | = | - | 15339 100000 | + | 5113 1000 | X |
Transposition :
| - | 5113 1000 | X | = | - | 15339 100000 | + | 1331 50000 |
Combine the items on the right of the equation:
| - | 5113 1000 | X | = | - | 12677 100000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
12677 100000 | = | 5113 1000 | 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 :
5113 1000 | X | = | 12677 100000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 12677 100000 | ÷ | 5113 1000 |
| = | 12677 100000 | × | 1000 5113 |
| = | 12677 100 | × | 1 5113 |
We obtained :
| X | = | 12677 511300 |
Convert the result to decimal form :
| X | = | 0.024794 |