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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-46.57)/46.57*100-(2.13) = (y-47.56)/47.56*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 4657 100 | ) | ÷ | 4657 100 | × | 100 | − | ( | 213 100 | ) | = | ( | y | − | 1189 25 | ) | ÷ | 1189 25 | × | 100 |
| Left side of the equation = | ( | y | − | 4657 100 | ) | × | 10000 4657 | − | ( | 213 100 | ) |
| ( | y | − | 4657 100 | ) | × | 10000 4657 | − | ( | 213 100 | ) | = | ( | y | − | 1189 25 | ) | ÷ | 1189 25 | × | 100 |
| Left side of the equation = | y | × | 10000 4657 | − | 4657 100 | × | 10000 4657 | − | ( | 213 100 | ) |
| = | y | × | 10000 4657 | − | 465700 4657 | − | ( | 213 100 | ) |
| = | 10000 4657 | y | − | 465700 4657 | − | 213 100 |
| = | 10000 4657 | y | − | 47561941 465700 |
10000 4657 | y | − | 47561941 465700 | = | ( | y | − | 1189 25 | ) | ÷ | 1189 25 | × | 100 |
| Right side of the equation = | ( | y | − | 1189 25 | ) | × | 2500 1189 |
10000 4657 | y | − | 47561941 465700 | = | ( | y | − | 1189 25 | ) | × | 2500 1189 |
| Right side of the equation = | y | × | 2500 1189 | − | 1189 25 | × | 2500 1189 |
| = | y | × | 2500 1189 | − | 100 |
10000 4657 | y | − | 47561941 465700 | = | 2500 1189 | y | − | 100 |
Transposition :
10000 4657 | y | − | 2500 1189 | y | = | - | 100 | + | 47561941 465700 |
Combine the items on the left of the equation:
247500 5537173 | y | = | - | 100 | + | 47561941 465700 |
Combine the items on the right of the equation:
247500 5537173 | y | = | 991941 465700 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 991941 465700 | ÷ | 247500 5537173 |
| = | 991941 465700 | × | 5537173 247500 |
| = | 330647 465700 | × | 5537173 82500 |
We obtained :
| y | = | 1830849640931 38420250000 |