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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+271.5)/31*x+177/31*(x+15)+124/31(x+30) = 1029 .
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+271.5)/31*x+177/31*(x+15)+124/31(x+30) = 1029 .
Question type: Equation
Solution:Original question:
| ( | 155 | + | 543 2 | ) | ÷ | 31 | × | x | + | 177 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 124 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 1029 |
| Left side of the equation = | ( | 155 | + | 543 2 | ) | × | 1 31 | x | + | 177 31 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| ( | 155 | + | 543 2 | ) | × | 1 31 | x | + | 177 31 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) | = | 1029 |
| Left side of the equation = | 155 | × | 1 31 | x | + | 543 2 | × | 1 31 | x | + | 177 31 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 5 | x | + | 543 62 | x | + | 177 31 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 853 62 | x | + | 177 31 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 853 62 | x | + | 177 31 | x | + | 177 31 | × | 15 | + | 4 | ( | x | + | 30 | ) |
| = | 853 62 | x | + | 177 31 | x | + | 2655 31 | + | 4 | ( | x | + | 30 | ) |
| = | 1207 62 | x | + | 2655 31 | + | 4 | ( | x | + | 30 | ) |
| = | 1207 62 | x | + | 2655 31 | + | 4 | x | + | 4 | × | 30 |
| = | 1207 62 | x | + | 2655 31 | + | 4 | x | + | 120 |
| = | 1455 62 | x | + | 6375 31 |
1455 62 | x | + | 6375 31 | = | 1029 |
Transposition :
1455 62 | x | = | 1029 | − | 6375 31 |
Combine the items on the right of the equation:
1455 62 | x | = | 25524 31 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 25524 31 | ÷ | 1455 62 |
| = | 25524 31 | × | 62 1455 |
| = | 8508 | × | 2 485 |
We obtained :
| x | = | 17016 485 |
Convert the result to decimal form :
| x | = | 35.084536 |