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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 （147x）/138+（208/197）（85-x） = 92.7 .
Question type: Equation
Solution:Original question:
| ( | 147 | x | ) | ÷ | 138 | + | ( | 208 | ÷ | 197 | ) | ( | 85 | − | x | ) | = | 927 10 |
| Left side of the equation = | 147 | x | × | 1 138 | + | ( | 208 | ÷ | 197 | ) | ( | 85 | − | x | ) |
| = | 49 46 | x | + | ( | 208 | ÷ | 197 | ) | ( | 85 | − | x | ) |
| = | 49 46 | x | + | 208 | ÷ | 197 | × | ( | 85 | − | x | ) |
| = | 49 46 | x | + | 208 197 | ( | 85 | − | x | ) |
| = | 49 46 | x | + | 208 197 | × | 85 | − | 208 197 | x |
| = | 49 46 | x | + | 17680 197 | − | 208 197 | x |
| = | 85 9062 | x | + | 17680 197 |
85 9062 | x | + | 17680 197 | = | 927 10 |
Transposition :
85 9062 | x | = | 927 10 | − | 17680 197 |
Combine the items on the right of the equation:
85 9062 | x | = | 5819 1970 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5819 1970 | ÷ | 85 9062 |
| = | 5819 1970 | × | 9062 85 |
| = | 5819 985 | × | 4531 85 |
We obtained :
| x | = | 26365889 83725 |
By reducing fraction, we can get:
| x | = | 133837 425 |
Convert the result to decimal form :
| x | = | 314.910588 |