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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 (155+389.5)/31*x+166.5/31*(x+15)+93/31*(x+30) = 2108 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (155+389.5)/31*x+166.5/31*(x+15)+93/31*(x+30) = 2108 .
Question type: Equation
Solution:Original question:
| ( | 155 | + | 779 2 | ) | ÷ | 31 | × | x | + | 333 2 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 93 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 2108 |
| Left side of the equation = | ( | 155 | + | 779 2 | ) | × | 1 31 | x | + | 333 62 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
| ( | 155 | + | 779 2 | ) | × | 1 31 | x | + | 333 62 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 2108 |
| Left side of the equation = | 155 | × | 1 31 | x | + | 779 2 | × | 1 31 | x | + | 333 62 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
| = | 5 | x | + | 779 62 | x | + | 333 62 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
| = | 1089 62 | x | + | 333 62 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
| = | 1089 62 | x | + | 333 62 | x | + | 333 62 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 1089 62 | x | + | 333 62 | x | + | 4995 62 | + | 3 | ( | x | + | 30 | ) |
| = | 711 31 | x | + | 4995 62 | + | 3 | ( | x | + | 30 | ) |
| = | 711 31 | x | + | 4995 62 | + | 3 | x | + | 3 | × | 30 |
| = | 711 31 | x | + | 4995 62 | + | 3 | x | + | 90 |
| = | 804 31 | x | + | 10575 62 |
804 31 | x | + | 10575 62 | = | 2108 |
Transposition :
804 31 | x | = | 2108 | − | 10575 62 |
Combine the items on the right of the equation:
804 31 | x | = | 120121 62 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 120121 62 | ÷ | 804 31 |
| = | 120121 62 | × | 31 804 |
| = | 120121 2 | × | 1 804 |
We obtained :
| x | = | 120121 1608 |
Convert the result to decimal form :
| x | = | 74.702114 |