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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 459.5/31*x+147/31*(x+15)+93/31*(x+30) = 1287 .
Question type: Equation
Solution:Original question:
919 2 | ÷ | 31 | × | x | + | 147 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 93 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 1287 |
| Left side of the equation = | 919 62 | x | + | 147 31 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
919 62 | x | + | 147 31 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 1287 |
| Left side of the equation = | 919 62 | x | + | 147 31 | x | + | 147 31 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 919 62 | x | + | 147 31 | x | + | 2205 31 | + | 3 | ( | x | + | 30 | ) |
| = | 1213 62 | x | + | 2205 31 | + | 3 | ( | x | + | 30 | ) |
| = | 1213 62 | x | + | 2205 31 | + | 3 | x | + | 3 | × | 30 |
| = | 1213 62 | x | + | 2205 31 | + | 3 | x | + | 90 |
| = | 1399 62 | x | + | 4995 31 |
1399 62 | x | + | 4995 31 | = | 1287 |
Transposition :
1399 62 | x | = | 1287 | − | 4995 31 |
Combine the items on the right of the equation:
1399 62 | x | = | 34902 31 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 34902 31 | ÷ | 1399 62 |
| = | 34902 31 | × | 62 1399 |
| = | 34902 | × | 2 1399 |
We obtained :
| x | = | 69804 1399 |
Convert the result to decimal form :
| x | = | 49.89564 |