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Work: Find the solution of equation （146+x）/（146+x+16） = 0.98 .
Question type: Equation
Solution:Original question:| | ( | 146 | + | x | ) | ÷ | ( | 146 | + | x | + | 16 | ) | = | 49 50 |
| Multiply both sides of the equation by: | ( | 146 | + | x | + | 16 | ) |
| | ( | 146 | + | x | ) | = | 49 50 | ( | 146 | + | x | + | 16 | ) |
Remove a bracket on the left of the equation:：
| | 146 | + | x | = | 49 50 | ( | 146 | + | x | + | 16 | ) |
Remove a bracket on the right of the equation:：
| | 146 | + | x | = | 49 50 | × | 146 | + | 49 50 | x | + | 49 50 | × | 16 |
The equation is reduced to :
| | 146 | + | x | = | 3577 25 | + | 49 50 | x | + | 392 25 |
The equation is reduced to :
| | 146 | + | x | = | 3969 25 | + | 49 50 | x |
Transposition :
| | x | − | 49 50 | x | = | 3969 25 | − | 146 |
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
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