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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-108）-75/1000 = (X-80)/1550 .
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 :
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.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （X-108）-75/1000 = (X-80)/1550 .
Question type: Equation
Solution:Original question:
| ( | X | − | 108 | ) | − | 75 | ÷ | 1000 | = | ( | X | − | 80 | ) | ÷ | 1550 |
| Left side of the equation = | ( | X | − | 108 | ) | − | 3 40 |
| ( | X | − | 108 | ) | − | 3 40 | = | ( | X | − | 80 | ) | ÷ | 1550 |
| Left side of the equation = | X | − | 108 | − | 3 40 |
| = | X | − | 4323 40 |
| X | − | 4323 40 | = | ( | X | − | 80 | ) | ÷ | 1550 |
| Right side of the equation = | X | × | 1 1550 | − | 80 | × | 1 1550 |
| = | X | × | 1 1550 | − | 8 155 |
| X | − | 4323 40 | = | 1 1550 | X | − | 8 155 |
Transposition :
| X | − | 1 1550 | X | = | - | 8 155 | + | 4323 40 |
Combine the items on the left of the equation:
1549 1550 | X | = | - | 8 155 | + | 4323 40 |
Combine the items on the right of the equation:
1549 1550 | X | = | 133949 1240 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 133949 1240 | ÷ | 1549 1550 |
| = | 133949 1240 | × | 1550 1549 |
| = | 133949 124 | × | 155 1549 |
We obtained :
| X | = | 20762095 192076 |
By reducing fraction, we can get:
| X | = | 669745 6196 |
Convert the result to decimal form :
| X | = | 108.093125 |