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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 （25.697+x）×1.55 = 51.393+69.39-x .
Question type: Equation
Solution:Original question:
| ( | 25697 1000 | + | x | ) | × | 31 20 | = | 51393 1000 | + | 6939 100 | − | x |
| Left side of the equation = | 25697 1000 | × | 31 20 | + | x | × | 31 20 |
| = | 796607 20000 | + | x | × | 31 20 |
796607 20000 | + | 31 20 | x | = | 51393 1000 | + | 6939 100 | − | x |
| Right side of the equation = | 120783 1000 | − | x |
796607 20000 | + | 31 20 | x | = | 120783 1000 | − | x |
Transposition :
31 20 | x | + | x | = | 120783 1000 | − | 796607 20000 |
Combine the items on the left of the equation:
51 20 | x | = | 120783 1000 | − | 796607 20000 |
Combine the items on the right of the equation:
51 20 | x | = | 1619053 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1619053 20000 | ÷ | 51 20 |
| = | 1619053 20000 | × | 20 51 |
| = | 1619053 1000 | × | 1 51 |
We obtained :
| x | = | 1619053 51000 |
Convert the result to decimal form :
| x | = | 31.746137 |