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Work: Find the solution of equation 1+（a/（450-a）） = 1.5 .
Question type: Equation
Solution:Original question:| | 1 | + | ( | a | ÷ | ( | 450 | − | a | ) | ) | = | 3 2 |
Remove a bracket on the left of the equation:：
| Multiply both sides of the equation by: | ( | 450 | − | a | ) |
| | 1 | ( | 450 | − | a | ) | + | a | = | 3 2 | ( | 450 | − | a | ) |
Remove a bracket on the left of the equation:
| | 1 | × | 450 | − | 1 | a | + | a | = | 3 2 | ( | 450 | − | a | ) |
Remove a bracket on the right of the equation:：
| | 1 | × | 450 | − | 1 | a | + | a | = | 3 2 | × | 450 | − | 3 2 | a |
The equation is reduced to :
| | 450 | − | 1 | a | + | a | = | 675 | − | 3 2 | a |
The equation is reduced to :
Transposition :
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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