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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 453/31*x+149/31*(x+15)+93/31*(x+30) = 1183 .
Question type: Equation
Solution:Original question:
| 453 | ÷ | 31 | × | x | + | 149 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 93 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 1183 |
| Left side of the equation = | 453 31 | x | + | 149 31 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
453 31 | x | + | 149 31 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 1183 |
| Left side of the equation = | 453 31 | x | + | 149 31 | x | + | 149 31 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 453 31 | x | + | 149 31 | x | + | 2235 31 | + | 3 | ( | x | + | 30 | ) |
| = | 602 31 | x | + | 2235 31 | + | 3 | ( | x | + | 30 | ) |
| = | 602 31 | x | + | 2235 31 | + | 3 | x | + | 3 | × | 30 |
| = | 602 31 | x | + | 2235 31 | + | 3 | x | + | 90 |
| = | 695 31 | x | + | 5025 31 |
695 31 | x | + | 5025 31 | = | 1183 |
Transposition :
695 31 | x | = | 1183 | − | 5025 31 |
Combine the items on the right of the equation:
695 31 | x | = | 31648 31 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 31648 31 | ÷ | 695 31 |
| = | 31648 31 | × | 31 695 |
| = | 31648 | × | 1 695 |
We obtained :
| x | = | 31648 695 |
Convert the result to decimal form :
| x | = | 45.536691 |