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Work: Find the solution of equation (x*5+161.38*700)/(x+700) = 9.2 .
Question type: Equation
Solution:Original question:| | ( | x | × | 5 | + | 8069 50 | × | 700 | ) | ÷ | ( | x | + | 700 | ) | = | 46 5 |
| Multiply both sides of the equation by: | ( | x | + | 700 | ) |
| | ( | x | × | 5 | + | 8069 50 | × | 700 | ) | = | 46 5 | ( | x | + | 700 | ) |
Remove a bracket on the left of the equation:：
| | x | × | 5 | + | 8069 50 | × | 700 | = | 46 5 | ( | x | + | 700 | ) |
Remove a bracket on the right of the equation:：
| | x | × | 5 | + | 8069 50 | × | 700 | = | 46 5 | x | + | 46 5 | × | 700 |
The equation is reduced to :
| | x | × | 5 | + | 112966 | = | 46 5 | x | + | 6440 |
Transposition :
| | 5 | x | − | 46 5 | x | = | 6440 | − | 112966 |
Combine the items on the left of the equation:
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.
Convert the result to decimal form :
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