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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 369.5/31*x+51.5/31*(x+15)+53/31*(x+30) = 800 .
Question type: Equation
Solution:Original question:
739 2 | ÷ | 31 | × | x | + | 103 2 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 53 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 800 |
| Left side of the equation = | 739 62 | x | + | 103 62 | ( | x | + | 15 | ) | + | 53 31 | ( | x | + | 30 | ) |
739 62 | x | + | 103 62 | ( | x | + | 15 | ) | + | 53 31 | ( | x | + | 30 | ) | = | 800 |
| Left side of the equation = | 739 62 | x | + | 103 62 | x | + | 103 62 | × | 15 | + | 53 31 | ( | x | + | 30 | ) |
| = | 739 62 | x | + | 103 62 | x | + | 1545 62 | + | 53 31 | ( | x | + | 30 | ) |
| = | 421 31 | x | + | 1545 62 | + | 53 31 | ( | x | + | 30 | ) |
| = | 421 31 | x | + | 1545 62 | + | 53 31 | x | + | 53 31 | × | 30 |
| = | 421 31 | x | + | 1545 62 | + | 53 31 | x | + | 1590 31 |
| = | 474 31 | x | + | 4725 62 |
474 31 | x | + | 4725 62 | = | 800 |
Transposition :
474 31 | x | = | 800 | − | 4725 62 |
Combine the items on the right of the equation:
474 31 | x | = | 44875 62 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 44875 62 | ÷ | 474 31 |
| = | 44875 62 | × | 31 474 |
| = | 44875 2 | × | 1 474 |
We obtained :
| x | = | 44875 948 |
Convert the result to decimal form :
| x | = | 47.336498 |