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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 5.47*100000 = 880*0.5*（x-20）+4.2*1000*2.5*（x-20） .
Question type: Equation
Solution:Original question:
The equation is transformed into :
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
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.
By reducing fraction, we can get:
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 5.47*100000 = 880*0.5*（x-20）+4.2*1000*2.5*（x-20） .
Question type: Equation
Solution:Original question:
547 100 | × | 100000 | = | 880 | × | 1 2 | ( | x | − | 20 | ) | + | 21 5 | × | 1000 | × | 5 2 | ( | x | − | 20 | ) |
| Left side of the equation = | 547000 |
| 547000 | = | 880 | × | 1 2 | ( | x | − | 20 | ) | + | 21 5 | × | 1000 | × | 5 2 | ( | x | − | 20 | ) |
| Right side of the equation = | 440 | ( | x | − | 20 | ) | + | 10500 | ( | x | − | 20 | ) |
| 547000 | = | 440 | ( | x | − | 20 | ) | + | 10500 | ( | x | − | 20 | ) |
| Right side of the equation = | 440 | x | − | 440 | × | 20 | + | 10500 | ( | x | − | 20 | ) |
| = | 440 | x | − | 8800 | + | 10500 | ( | x | − | 20 | ) |
| = | 440 | x | − | 8800 | + | 10500 | x | − | 10500 | × | 20 |
| = | 440 | x | − | 8800 | + | 10500 | x | − | 210000 |
| = | 10940 | x | − | 218800 |
| 547000 | = | 10940 | x | − | 218800 |
Transposition :
| - | 10940 | x | = | - | 218800 | − | 547000 |
Combine the items on the right of the equation:
| - | 10940 | x | = | - | 765800 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 765800 | = | 10940 | 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 :
| 10940 | x | = | 765800 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 765800 | ÷ | 10940 |
| = | 765800 | × | 1 10940 |
| = | 38290 | × | 1 547 |
We obtained :
| x | = | 38290 547 |
By reducing fraction, we can get:
| x | = | 70 |