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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-154.96）/154.96*100-（-6.81） = （y-144.41）/144.41*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 3874 25 | ) | ÷ | 3874 25 | × | 100 | − | ( | - | 681 100 | ) | = | ( | y | − | 14441 100 | ) | ÷ | 14441 100 | × | 100 |
| Left side of the equation = | ( | y | − | 3874 25 | ) | × | 1250 1937 | − | ( | - | 681 100 | ) |
| ( | y | − | 3874 25 | ) | × | 1250 1937 | − | ( | - | 681 100 | ) | = | ( | y | − | 14441 100 | ) | ÷ | 14441 100 | × | 100 |
| Left side of the equation = | y | × | 1250 1937 | − | 3874 25 | × | 1250 1937 | − | ( | - | 681 100 | ) |
| = | y | × | 1250 1937 | − | 100 | − | ( | - | 681 100 | ) |
| = | 1250 1937 | y | − | 100 | + | 681 100 |
| = | 1250 1937 | y | − | 9319 100 |
1250 1937 | y | − | 9319 100 | = | ( | y | − | 14441 100 | ) | ÷ | 14441 100 | × | 100 |
| Right side of the equation = | ( | y | − | 14441 100 | ) | × | 10000 14441 |
1250 1937 | y | − | 9319 100 | = | ( | y | − | 14441 100 | ) | × | 10000 14441 |
| Right side of the equation = | y | × | 10000 14441 | − | 14441 100 | × | 10000 14441 |
| = | y | × | 10000 14441 | − | 206300 2063 |
1250 1937 | y | − | 9319 100 | = | 10000 14441 | y | − | 206300 2063 |
Transposition :
1250 1937 | y | − | 10000 14441 | y | = | - | 206300 2063 | + | 9319 100 |
Combine the items on the left of the equation:
| - | 1318750 27972217 | y | = | - | 206300 2063 | + | 9319 100 |
Combine the items on the right of the equation:
| - | 1318750 27972217 | y | = | - | 1404903 206300 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1404903 206300 | = | 1318750 27972217 | 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 :
1318750 27972217 | y | = | 1404903 206300 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 1404903 206300 | ÷ | 1318750 27972217 |
| = | 1404903 206300 | × | 27972217 1318750 |
We obtained :
| y | = | 39298251579951 272058125000 |