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 （4500*12*0.9-60%*70A*（4.9%+2%））/（40%*70A+5%*7A） = 3.8% .
Question type: Equation
Solution:Original question:
| ( | 4500 | × | 12 | × | 9 10 | − | 60 100 | × | 70 | A | ( | 49 1000 | + | 2 100 | ) | ) | ÷ | ( | 40 100 | × | 70 | A | + | 5 100 | × | 7 | A | ) | = | 19 500 |
| Multiply both sides of the equation by: | ( | 40 100 | × | 70 | A | + | 5 100 | × | 7 | A | ) |
| ( | 4500 | × | 12 | × | 9 10 | − | 60 100 | × | 70 | A | ( | 49 1000 | + | 2 100 | ) | ) | = | 19 500 | ( | 40 100 | × | 70 | A | + | 5 100 | × | 7 | A | ) |
| 4500 | × | 12 | × | 9 10 | − | 60 100 | × | 70 | A | ( | 49 1000 | + | 2 100 | ) | = | 19 500 | ( | 40 100 | × | 70 | A | + | 5 100 | × | 7 | A | ) |
| 4500 | × | 12 | × | 9 10 | − | 60 100 | × | 70 | A | ( | 49 1000 | + | 2 100 | ) | = | 19 500 | × | 40 100 | × | 70 | A | + | 19 500 | × | 5 100 | × | 7 | A |
| 48600 | − | 42 | A | ( | 49 1000 | + | 2 100 | ) | = | 133 125 | A | + | 133 10000 | A |
| 48600 | − | 42 | A | ( | 49 1000 | + | 2 100 | ) | = | 10773 10000 | A |
| 48600 | − | 42 | A | × | 49 1000 | − | 42 | A | × | 2 100 | = | 10773 10000 | A |
| 48600 | − | 1029 500 | A | − | 21 25 | A | = | 10773 10000 | A |
| 48600 | − | 1449 500 | A | = | 10773 10000 | A |
Transposition :
| - | 1449 500 | A | − | 10773 10000 | A | = | - | 48600 |
Combine the items on the left of the equation:
| - | 39753 10000 | A | = | - | 48600 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 48600 | = | 39753 10000 | A |
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 :
39753 10000 | A | = | 48600 |
The coefficient of the unknown number is reduced to 1 :
| A | = | 48600 | ÷ | 39753 10000 |
| = | 48600 | × | 10000 39753 |
| = | 5400 | × | 10000 4417 |
We obtained :
| A | = | 54000000 4417 |
Convert the result to decimal form :
| A | = | 12225.492416 |