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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 344/31*x+156/31*(15+x)+93/31*(30+x) = 1294 .
Question type: Equation
Solution:Original question:
| 344 | ÷ | 31 | × | x | + | 156 | ÷ | 31 | × | ( | 15 | + | x | ) | + | 93 | ÷ | 31 | × | ( | 30 | + | x | ) | = | 1294 |
| Left side of the equation = | 344 31 | x | + | 156 31 | ( | 15 | + | x | ) | + | 3 | ( | 30 | + | x | ) |
344 31 | x | + | 156 31 | ( | 15 | + | x | ) | + | 3 | ( | 30 | + | x | ) | = | 1294 |
| Left side of the equation = | 344 31 | x | + | 156 31 | × | 15 | + | 156 31 | x | + | 3 | ( | 30 | + | x | ) |
| = | 344 31 | x | + | 2340 31 | + | 156 31 | x | + | 3 | ( | 30 | + | x | ) |
| = | 500 31 | x | + | 2340 31 | + | 3 | ( | 30 | + | x | ) |
| = | 500 31 | x | + | 2340 31 | + | 3 | × | 30 | + | 3 | x |
| = | 500 31 | x | + | 2340 31 | + | 90 | + | 3 | x |
| = | 593 31 | x | + | 5130 31 |
593 31 | x | + | 5130 31 | = | 1294 |
Transposition :
593 31 | x | = | 1294 | − | 5130 31 |
Combine the items on the right of the equation:
593 31 | x | = | 34984 31 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 34984 31 | ÷ | 593 31 |
| = | 34984 31 | × | 31 593 |
| = | 34984 | × | 1 593 |
We obtained :
| x | = | 34984 593 |
Convert the result to decimal form :
| x | = | 58.994941 |