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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/87-20/1100-10/167 = 0.00167(x+30） .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | 20 | ÷ | 1100 | − | 10 | ÷ | 167 | = | 167 100000 | ( | X | + | 30 | ) |
| Left side of the equation = | X | × | 1 87 | − | 1 55 | − | 10 167 |
| = | 1 87 | X | − | 717 9185 |
1 87 | X | − | 717 9185 | = | 167 100000 | ( | X | + | 30 | ) |
| Right side of the equation = | 167 100000 | X | + | 167 100000 | × | 30 |
| = | 167 100000 | X | + | 501 10000 |
1 87 | X | − | 717 9185 | = | 167 100000 | X | + | 501 10000 |
Transposition :
1 87 | X | − | 167 100000 | X | = | 501 10000 | + | 717 9185 |
Combine the items on the left of the equation:
85471 8700000 | X | = | 501 10000 | + | 717 9185 |
Combine the items on the right of the equation:
85471 8700000 | X | = | 2354337 18370000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2354337 18370000 | ÷ | 85471 8700000 |
| = | 2354337 18370000 | × | 8700000 85471 |
| = | 2354337 1837 | × | 870 85471 |
We obtained :
| X | = | 2048273190 157010227 |
Convert the result to decimal form :
| X | = | 13.045476 |