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Mathematical statistics：
Enter the data to be counted, separated by commas (","), and click Next to get the statistics results.
Statistical items: total data, sum, average, variance and standard deviation.
Note: Statistical data can only be numbers, which cannot be algebraic expressions or mathematical functions (including trigonometric functions).
Enter the data to be counted, separated by commas (","), and click Next to get the statistics results.
Statistical items: total data, sum, average, variance and standard deviation.
Note: Statistical data can only be numbers, which cannot be algebraic expressions or mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Mathematical Statistics > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 7/12*x+12 = 3/5(x+12) .
Question type: Equation
Solution:Original question:
| 7 | ÷ | 12 | × | x | + | 12 | = | 3 | ÷ | 5 | × | ( | x | + | 12 | ) |
| Left side of the equation = | 7 12 | x | + | 12 |
7 12 | x | + | 12 | = | 3 | ÷ | 5 | × | ( | x | + | 12 | ) |
| Right side of the equation = | 3 5 | ( | x | + | 12 | ) |
7 12 | x | + | 12 | = | 3 5 | ( | x | + | 12 | ) |
| Right side of the equation = | 3 5 | x | + | 3 5 | × | 12 |
| = | 3 5 | x | + | 36 5 |
7 12 | x | + | 12 | = | 3 5 | x | + | 36 5 |
Transposition :
7 12 | x | − | 3 5 | x | = | 36 5 | − | 12 |
Combine the items on the left of the equation:
| - | 1 60 | x | = | 36 5 | − | 12 |
Combine the items on the right of the equation:
| - | 1 60 | x | = | - | 24 5 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
24 5 | = | 1 60 | 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 :
1 60 | x | = | 24 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 24 5 | ÷ | 1 60 |
| = | 24 5 | × | 60 |
| = | 24 | × | 12 |
We obtained :
| x | = | 288 |