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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 （149x）/138+（208/197）（85-x） = 92.7 .
Question type: Equation
Solution:Original question:
| ( | 149 | x | ) | ÷ | 138 | + | ( | 208 | ÷ | 197 | ) | ( | 85 | − | x | ) | = | 927 10 |
| Left side of the equation = | 149 | x | × | 1 138 | + | ( | 208 | ÷ | 197 | ) | ( | 85 | − | x | ) |
| = | 149 138 | x | + | ( | 208 | ÷ | 197 | ) | ( | 85 | − | x | ) |
| = | 149 138 | x | + | 208 | ÷ | 197 | × | ( | 85 | − | x | ) |
| = | 149 138 | x | + | 208 197 | ( | 85 | − | x | ) |
| = | 149 138 | x | + | 208 197 | × | 85 | − | 208 197 | x |
| = | 149 138 | x | + | 17680 197 | − | 208 197 | x |
| = | 649 27186 | x | + | 17680 197 |
649 27186 | x | + | 17680 197 | = | 927 10 |
Transposition :
649 27186 | x | = | 927 10 | − | 17680 197 |
Combine the items on the right of the equation:
649 27186 | x | = | 5819 1970 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5819 1970 | ÷ | 649 27186 |
| = | 5819 1970 | × | 27186 649 |
| = | 529 985 | × | 13593 59 |
We obtained :
| x | = | 7190697 58115 |
By reducing fraction, we can get:
| x | = | 36501 295 |
Convert the result to decimal form :
| x | = | 123.732203 |