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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 (5-x)÷7.3+(15-x)÷80 = x÷5.1 .
Question type: Equation
Solution:Original question:
| ( | 5 | − | x | ) | ÷ | 73 10 | + | ( | 15 | − | x | ) | ÷ | 80 | = | x | ÷ | 51 10 |
| Left side of the equation = | 5 | × | 10 73 | − | x | × | 10 73 | + | ( | 15 | − | x | ) | × | 1 80 |
| = | 50 73 | − | x | × | 10 73 | + | ( | 15 | − | x | ) | × | 1 80 |
| = | 50 73 | − | 10 73 | x | + | 15 | × | 1 80 | − | x | × | 1 80 |
| = | 50 73 | − | 10 73 | x | + | 3 16 | − | x | × | 1 80 |
| = | 1019 1168 | − | 873 5840 | x |
1019 1168 | − | 873 5840 | x | = | x | ÷ | 51 10 |
Transposition :
| - | 873 5840 | x | − | 10 51 | x | = | - | 1019 1168 |
Combine the items on the left of the equation:
| - | 102923 297840 | x | = | - | 1019 1168 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1019 1168 | = | 102923 297840 | 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 :
102923 297840 | x | = | 1019 1168 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1019 1168 | ÷ | 102923 297840 |
| = | 1019 1168 | × | 297840 102923 |
| = | 1019 | × | 255 102923 |
We obtained :
| x | = | 259845 102923 |
Convert the result to decimal form :
| x | = | 2.524654 |