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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 6355.20y*0.2+31776.01*（1-y）*3.5 = 111216.03 .
Question type: Equation
Solution:Original question:
31776 5 | y | × | 1 5 | + | 3177601 100 | ( | 1 | − | y | ) | × | 7 2 | = | 11121603 100 |
| Left side of the equation = | 31776 25 | y | + | 22243207 200 | ( | 1 | − | y | ) |
31776 25 | y | + | 22243207 200 | ( | 1 | − | y | ) | = | 11121603 100 |
| Left side of the equation = | 31776 25 | y | + | 22243207 200 | × | 1 | − | 22243207 200 | y |
| = | 31776 25 | y | + | 22243207 200 | − | 22243207 200 | y |
| = | - | 21988999 200 | y | + | 22243207 200 |
| - | 21988999 200 | y | + | 22243207 200 | = | 11121603 100 |
Transposition :
| - | 21988999 200 | y | = | 11121603 100 | − | 22243207 200 |
Combine the items on the right of the equation:
| - | 21988999 200 | y | = | - | 1 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1 200 | = | 21988999 200 | 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 :
21988999 200 | y | = | 1 200 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 1 200 | ÷ | 21988999 200 |
| = | 1 200 | × | 200 21988999 |
| = | 1 | × | 1 21988999 |
We obtained :
| y | = | 1 21988999 |
Convert the result to decimal form :
| y | = | 0 |