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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 (0.075-x)/0.074 = 5.1/35.1 .
Question type: Equation
Solution:Original question:
| ( | 3 40 | − | x | ) | ÷ | 37 500 | = | 51 10 | ÷ | 351 10 |
| Left side of the equation = | 3 40 | × | 500 37 | − | x | × | 500 37 |
| = | 75 74 | − | x | × | 500 37 |
75 74 | − | 500 37 | x | = | 51 10 | ÷ | 351 10 |
| Right side of the equation = | 17 117 |
75 74 | − | 500 37 | x | = | 17 117 |
Transposition :
| - | 500 37 | x | = | 17 117 | − | 75 74 |
Combine the items on the right of the equation:
| - | 500 37 | x | = | - | 7517 8658 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
7517 8658 | = | 500 37 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
500 37 | x | = | 7517 8658 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7517 8658 | ÷ | 500 37 |
| = | 7517 8658 | × | 37 500 |
| = | 7517 234 | × | 1 500 |
We obtained :
| x | = | 7517 117000 |
Convert the result to decimal form :
| x | = | 0.064248 |