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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 x/1.09+（94-x）/1.13 = 84 .
Question type: Equation
Solution:Original question:
| x | ÷ | 109 100 | + | ( | 94 | − | x | ) | ÷ | 113 100 | = | 84 |
| Left side of the equation = | 100 109 | x | + | 94 | × | 100 113 | − | x | × | 100 113 |
| = | 100 109 | x | + | 9400 113 | − | x | × | 100 113 |
| = | 400 12317 | x | + | 9400 113 |
400 12317 | x | + | 9400 113 | = | 84 |
Transposition :
400 12317 | x | = | 84 | − | 9400 113 |
Combine the items on the right of the equation:
400 12317 | x | = | 92 113 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 92 113 | ÷ | 400 12317 |
| = | 92 113 | × | 12317 400 |
| = | 23 113 | × | 12317 100 |
We obtained :
| x | = | 283291 11300 |
Convert the result to decimal form :
| x | = | 25.07 |