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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 309/31*x+194.5/31*(x+15)+93/31(x+30) = 1230 .
Question type: Equation
Solution:Original question:
| 309 | ÷ | 31 | × | x | + | 389 2 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 93 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 1230 |
| Left side of the equation = | 309 31 | x | + | 389 62 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
309 31 | x | + | 389 62 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 1230 |
| Left side of the equation = | 309 31 | x | + | 389 62 | x | + | 389 62 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 309 31 | x | + | 389 62 | x | + | 5835 62 | + | 3 | ( | x | + | 30 | ) |
| = | 1007 62 | x | + | 5835 62 | + | 3 | ( | x | + | 30 | ) |
| = | 1007 62 | x | + | 5835 62 | + | 3 | x | + | 3 | × | 30 |
| = | 1007 62 | x | + | 5835 62 | + | 3 | x | + | 90 |
| = | 1193 62 | x | + | 11415 62 |
1193 62 | x | + | 11415 62 | = | 1230 |
Transposition :
1193 62 | x | = | 1230 | − | 11415 62 |
Combine the items on the right of the equation:
1193 62 | x | = | 64845 62 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 64845 62 | ÷ | 1193 62 |
| = | 64845 62 | × | 62 1193 |
| = | 64845 | × | 1 1193 |
We obtained :
| x | = | 64845 1193 |
Convert the result to decimal form :
| x | = | 54.354568 |