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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 (67-X)*15/23 = (46-X)*23/15 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (67-X)*15/23 = (46-X)*23/15 .
Question type: Equation
Solution:Original question:
| ( | 67 | − | X | ) | × | 15 | ÷ | 23 | = | ( | 46 | − | X | ) | × | 23 | ÷ | 15 |
| Left side of the equation = | ( | 67 | − | X | ) | × | 15 23 |
| ( | 67 | − | X | ) | × | 15 23 | = | ( | 46 | − | X | ) | × | 23 | ÷ | 15 |
| Left side of the equation = | 67 | × | 15 23 | − | X | × | 15 23 |
| = | 1005 23 | − | X | × | 15 23 |
1005 23 | − | 15 23 | X | = | ( | 46 | − | X | ) | × | 23 | ÷ | 15 |
| Right side of the equation = | ( | 46 | − | X | ) | × | 23 15 |
1005 23 | − | 15 23 | X | = | ( | 46 | − | X | ) | × | 23 15 |
| Right side of the equation = | 46 | × | 23 15 | − | X | × | 23 15 |
| = | 1058 15 | − | X | × | 23 15 |
1005 23 | − | 15 23 | X | = | 1058 15 | − | 23 15 | X |
Transposition :
| - | 15 23 | X | + | 23 15 | X | = | 1058 15 | − | 1005 23 |
Combine the items on the left of the equation:
304 345 | X | = | 1058 15 | − | 1005 23 |
Combine the items on the right of the equation:
304 345 | X | = | 9259 345 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 9259 345 | ÷ | 304 345 |
| = | 9259 345 | × | 345 304 |
| = | 9259 | × | 1 304 |
We obtained :
| X | = | 9259 304 |
Convert the result to decimal form :
| X | = | 30.457237 |