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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-217.3)/217.3*100-(-1.13) = (y-214.85)/214.85*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 2173 10 | ) | ÷ | 2173 10 | × | 100 | − | ( | - | 113 100 | ) | = | ( | y | − | 4297 20 | ) | ÷ | 4297 20 | × | 100 |
| Left side of the equation = | ( | y | − | 2173 10 | ) | × | 1000 2173 | − | ( | - | 113 100 | ) |
| ( | y | − | 2173 10 | ) | × | 1000 2173 | − | ( | - | 113 100 | ) | = | ( | y | − | 4297 20 | ) | ÷ | 4297 20 | × | 100 |
| Left side of the equation = | y | × | 1000 2173 | − | 2173 10 | × | 1000 2173 | − | ( | - | 113 100 | ) |
| = | y | × | 1000 2173 | − | 100 | − | ( | - | 113 100 | ) |
| = | 1000 2173 | y | − | 100 | + | 113 100 |
| = | 1000 2173 | y | − | 9887 100 |
1000 2173 | y | − | 9887 100 | = | ( | y | − | 4297 20 | ) | ÷ | 4297 20 | × | 100 |
| Right side of the equation = | ( | y | − | 4297 20 | ) | × | 2000 4297 |
1000 2173 | y | − | 9887 100 | = | ( | y | − | 4297 20 | ) | × | 2000 4297 |
| Right side of the equation = | y | × | 2000 4297 | − | 4297 20 | × | 2000 4297 |
| = | y | × | 2000 4297 | − | 429700 4297 |
1000 2173 | y | − | 9887 100 | = | 2000 4297 | y | − | 429700 4297 |
Transposition :
1000 2173 | y | − | 2000 4297 | y | = | - | 429700 4297 | + | 9887 100 |
Combine the items on the left of the equation:
| - | 49000 9337381 | y | = | - | 429700 4297 | + | 9887 100 |
Combine the items on the right of the equation:
| - | 49000 9337381 | y | = | - | 485561 429700 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
485561 429700 | = | 49000 9337381 | y |
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 :
49000 9337381 | y | = | 485561 429700 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 485561 429700 | ÷ | 49000 9337381 |
| = | 485561 429700 | × | 9337381 49000 |
We obtained :
| y | = | 4533868055741 21055300000 |