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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 （1.73y+5）/3+1.73y/3 = 5 .
Question type: Equation
Solution:Original question:
| ( | 173 100 | y | + | 5 | ) | ÷ | 3 | + | 173 100 | y | ÷ | 3 | = | 5 |
| Left side of the equation = | ( | 173 100 | y | + | 5 | ) | × | 1 3 | + | 173 300 | y |
| ( | 173 100 | y | + | 5 | ) | × | 1 3 | + | 173 300 | y | = | 5 |
| Left side of the equation = | 173 100 | y | × | 1 3 | + | 5 | × | 1 3 | + | 173 300 | y |
| = | 173 300 | y | + | 5 3 | + | 173 300 | y |
| = | 173 150 | y | + | 5 3 |
173 150 | y | + | 5 3 | = | 5 |
Transposition :
173 150 | y | = | 5 | − | 5 3 |
Combine the items on the right of the equation:
173 150 | y | = | 10 3 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 10 3 | ÷ | 173 150 |
| = | 10 3 | × | 150 173 |
| = | 10 | × | 50 173 |
We obtained :
| y | = | 500 173 |
Convert the result to decimal form :
| y | = | 2.890173 |