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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （10*a+1）/（a+1）*0.3+（10*a+8）/（a+1）*0.7 = 9.95 .
Question type: Equation
Solution:Original question:
| ( | 10 | a | + | 1 | ) | ÷ | ( | a | + | 1 | ) | × | 3 10 | + | ( | 10 | a | + | 8 | ) | ÷ | ( | a | + | 1 | ) | × | 7 10 | = | 199 20 |
| Multiply both sides of the equation by: | ( | a | + | 1 | ) |
| ( | 10 | a | + | 1 | ) | × | 3 10 | + | ( | 10 | a | + | 8 | ) | × | 7 10 | = | 199 20 | ( | a | + | 1 | ) |
| 10 | a | × | 3 10 | + | 1 | × | 3 10 | + | ( | 10 | a | + | 8 | ) | × | 7 10 | = | 199 20 | ( | a | + | 1 | ) |
| 10 | a | × | 3 10 | + | 1 | × | 3 10 | + | ( | 10 | a | + | 8 | ) | × | 7 10 | = | 199 20 | a | + | 199 20 | × | 1 |
| 3 | a | + | 3 10 | + | ( | 10 | a | + | 8 | ) | × | 7 10 | = | 199 20 | a | + | 199 20 |
| 3 | a | + | 3 10 | + | 10 | a | × | 7 10 | + | 8 | × | 7 10 | = | 199 20 | a | + | 199 20 |
| 3 | a | + | 3 10 | + | 7 | a | + | 28 5 | = | 199 20 | a | + | 199 20 |
| 10 | a | + | 59 10 | = | 199 20 | a | + | 199 20 |
Transposition :
| 10 | a | − | 199 20 | a | = | 199 20 | − | 59 10 |
Combine the items on the left of the equation:
1 20 | a | = | 199 20 | − | 59 10 |
Combine the items on the right of the equation:
1 20 | a | = | 81 20 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 81 20 | ÷ | 1 20 |
| = | 81 20 | × | 20 |
| = | 81 | × | 1 |
We obtained :
| a | = | 81 |