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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 126/31*x+80/31*(x+15)+44/31*(x+30) = 1013 .
Question type: Equation
Solution:Original question:
| 126 | ÷ | 31 | × | x | + | 80 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 44 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 1013 |
| Left side of the equation = | 126 31 | x | + | 80 31 | ( | x | + | 15 | ) | + | 44 31 | ( | x | + | 30 | ) |
126 31 | x | + | 80 31 | ( | x | + | 15 | ) | + | 44 31 | ( | x | + | 30 | ) | = | 1013 |
| Left side of the equation = | 126 31 | x | + | 80 31 | x | + | 80 31 | × | 15 | + | 44 31 | ( | x | + | 30 | ) |
| = | 126 31 | x | + | 80 31 | x | + | 1200 31 | + | 44 31 | ( | x | + | 30 | ) |
| = | 206 31 | x | + | 1200 31 | + | 44 31 | ( | x | + | 30 | ) |
| = | 206 31 | x | + | 1200 31 | + | 44 31 | x | + | 44 31 | × | 30 |
| = | 206 31 | x | + | 1200 31 | + | 44 31 | x | + | 1320 31 |
| = | 250 31 | x | + | 2520 31 |
250 31 | x | + | 2520 31 | = | 1013 |
Transposition :
250 31 | x | = | 1013 | − | 2520 31 |
Combine the items on the right of the equation:
250 31 | x | = | 28883 31 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 28883 31 | ÷ | 250 31 |
| = | 28883 31 | × | 31 250 |
| = | 28883 | × | 1 250 |
We obtained :
| x | = | 28883 250 |
Convert the result to decimal form :
| x | = | 115.532 |