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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+94.3)/0.98 = (x/0.9)+95.81 .
Question type: Equation
Solution:Original question:
| ( | x | + | 943 10 | ) | ÷ | 49 50 | = | ( | x | ÷ | 9 10 | ) | + | 9581 100 |
| Left side of the equation = | x | × | 50 49 | + | 943 10 | × | 50 49 |
| = | x | × | 50 49 | + | 4715 49 |
50 49 | x | + | 4715 49 | = | ( | x | ÷ | 9 10 | ) | + | 9581 100 |
| Right side of the equation = | x | ÷ | 9 10 | + | 9581 100 |
50 49 | x | + | 4715 49 | = | 10 9 | x | + | 9581 100 |
Transposition :
50 49 | x | − | 10 9 | x | = | 9581 100 | − | 4715 49 |
Combine the items on the left of the equation:
| - | 40 441 | x | = | 9581 100 | − | 4715 49 |
Combine the items on the right of the equation:
| - | 40 441 | x | = | - | 2031 4900 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2031 4900 | = | 40 441 | 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 :
40 441 | x | = | 2031 4900 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2031 4900 | ÷ | 40 441 |
| = | 2031 4900 | × | 441 40 |
| = | 2031 100 | × | 9 40 |
We obtained :
| x | = | 18279 4000 |
Convert the result to decimal form :
| x | = | 4.56975 |