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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 （12.1+0.2*y）/（97.7+y） = 0.16 .
Question type: Equation
Solution:Original question:
| ( | 121 10 | + | 1 5 | y | ) | ÷ | ( | 977 10 | + | y | ) | = | 4 25 |
| Multiply both sides of the equation by: | ( | 977 10 | + | y | ) |
| ( | 121 10 | + | 1 5 | y | ) | = | 4 25 | ( | 977 10 | + | y | ) |
121 10 | + | 1 5 | y | = | 4 25 | ( | 977 10 | + | y | ) |
121 10 | + | 1 5 | y | = | 4 25 | × | 977 10 | + | 4 25 | y |
121 10 | + | 1 5 | y | = | 1954 125 | + | 4 25 | y |
Transposition :
1 5 | y | − | 4 25 | y | = | 1954 125 | − | 121 10 |
Combine the items on the left of the equation:
1 25 | y | = | 1954 125 | − | 121 10 |
Combine the items on the right of the equation:
1 25 | y | = | 883 250 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 883 250 | ÷ | 1 25 |
| = | 883 250 | × | 25 |
| = | 883 10 | × | 1 |
We obtained :
| y | = | 883 10 |
Convert the result to decimal form :
| y | = | 88.3 |