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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-78.16)/78.16*100-(2.33) = (y-79.98)/79.98*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 1954 25 | ) | ÷ | 1954 25 | × | 100 | − | ( | 233 100 | ) | = | ( | y | − | 3999 50 | ) | ÷ | 3999 50 | × | 100 |
| Left side of the equation = | ( | y | − | 1954 25 | ) | × | 1250 977 | − | ( | 233 100 | ) |
| ( | y | − | 1954 25 | ) | × | 1250 977 | − | ( | 233 100 | ) | = | ( | y | − | 3999 50 | ) | ÷ | 3999 50 | × | 100 |
| Left side of the equation = | y | × | 1250 977 | − | 1954 25 | × | 1250 977 | − | ( | 233 100 | ) |
| = | y | × | 1250 977 | − | 100 | − | ( | 233 100 | ) |
| = | 1250 977 | y | − | 100 | − | 233 100 |
| = | 1250 977 | y | − | 10233 100 |
1250 977 | y | − | 10233 100 | = | ( | y | − | 3999 50 | ) | ÷ | 3999 50 | × | 100 |
| Right side of the equation = | ( | y | − | 3999 50 | ) | × | 5000 3999 |
1250 977 | y | − | 10233 100 | = | ( | y | − | 3999 50 | ) | × | 5000 3999 |
| Right side of the equation = | y | × | 5000 3999 | − | 3999 50 | × | 5000 3999 |
| = | y | × | 5000 3999 | − | 100 |
1250 977 | y | − | 10233 100 | = | 5000 3999 | y | − | 100 |
Transposition :
1250 977 | y | − | 5000 3999 | y | = | - | 100 | + | 10233 100 |
Combine the items on the left of the equation:
113750 3907023 | y | = | - | 100 | + | 10233 100 |
Combine the items on the right of the equation:
113750 3907023 | y | = | 233 100 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 233 100 | ÷ | 113750 3907023 |
| = | 233 100 | × | 3907023 113750 |
We obtained :
| y | = | 910336359 11375000 |
Convert the result to decimal form :
| y | = | 80.02957 |