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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 (y-77.18)/77.18*100-(3.90) = (y-80.19)/80.19*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 3859 50 | ) | ÷ | 3859 50 | × | 100 | − | ( | 39 10 | ) | = | ( | y | − | 8019 100 | ) | ÷ | 8019 100 | × | 100 |
| Left side of the equation = | ( | y | − | 3859 50 | ) | × | 5000 3859 | − | ( | 39 10 | ) |
| ( | y | − | 3859 50 | ) | × | 5000 3859 | − | ( | 39 10 | ) | = | ( | y | − | 8019 100 | ) | ÷ | 8019 100 | × | 100 |
| Left side of the equation = | y | × | 5000 3859 | − | 3859 50 | × | 5000 3859 | − | ( | 39 10 | ) |
| = | y | × | 5000 3859 | − | 100 | − | ( | 39 10 | ) |
| = | 5000 3859 | y | − | 100 | − | 39 10 |
| = | 5000 3859 | y | − | 1039 10 |
5000 3859 | y | − | 1039 10 | = | ( | y | − | 8019 100 | ) | ÷ | 8019 100 | × | 100 |
| Right side of the equation = | ( | y | − | 8019 100 | ) | × | 10000 8019 |
5000 3859 | y | − | 1039 10 | = | ( | y | − | 8019 100 | ) | × | 10000 8019 |
| Right side of the equation = | y | × | 10000 8019 | − | 8019 100 | × | 10000 8019 |
| = | y | × | 10000 8019 | − | 100 |
5000 3859 | y | − | 1039 10 | = | 10000 8019 | y | − | 100 |
Transposition :
5000 3859 | y | − | 10000 8019 | y | = | - | 100 | + | 1039 10 |
Combine the items on the left of the equation:
1505000 30945321 | y | = | - | 100 | + | 1039 10 |
Combine the items on the right of the equation:
1505000 30945321 | y | = | 39 10 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 39 10 | ÷ | 1505000 30945321 |
| = | 39 10 | × | 30945321 1505000 |
We obtained :
| y | = | 1206867519 15050000 |
Convert the result to decimal form :
| y | = | 80.190533 |