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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 (875.15-z)/47 = (z-880.855)/40 .
Question type: Equation
Solution:Original question:
| ( | 17503 20 | − | z | ) | ÷ | 47 | = | ( | z | − | 176171 200 | ) | ÷ | 40 |
| Left side of the equation = | 17503 20 | × | 1 47 | − | z | × | 1 47 |
| = | 17503 940 | − | z | × | 1 47 |
17503 940 | − | 1 47 | z | = | ( | z | − | 176171 200 | ) | ÷ | 40 |
| Right side of the equation = | z | × | 1 40 | − | 176171 200 | × | 1 40 |
| = | z | × | 1 40 | − | 176171 8000 |
17503 940 | − | 1 47 | z | = | 1 40 | z | − | 176171 8000 |
Transposition :
| - | 1 47 | z | − | 1 40 | z | = | - | 176171 8000 | − | 17503 940 |
Combine the items on the left of the equation:
| - | 87 1880 | z | = | - | 176171 8000 | − | 17503 940 |
Combine the items on the right of the equation:
| - | 87 1880 | z | = | - | 15281237 376000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
15281237 376000 | = | 87 1880 | z |
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 :
87 1880 | z | = | 15281237 376000 |
The coefficient of the unknown number is reduced to 1 :
| z | = | 15281237 376000 | ÷ | 87 1880 |
| = | 15281237 376000 | × | 1880 87 |
| = | 15281237 200 | × | 1 87 |
We obtained :
| z | = | 15281237 17400 |
Convert the result to decimal form :
| z | = | 878.232011 |