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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+152/31*(x+15)+93/31*(x+30) = 1462 .
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+152/31*(x+15)+93/31*(x+30) = 1462 .
Question type: Equation
Solution:Original question:
| ( | 155 | + | 779 2 | ) | ÷ | 31 | × | x | + | 152 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 93 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 1462 |
| Left side of the equation = | ( | 155 | + | 779 2 | ) | × | 1 31 | x | + | 152 31 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
| ( | 155 | + | 779 2 | ) | × | 1 31 | x | + | 152 31 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 1462 |
| Left side of the equation = | 155 | × | 1 31 | x | + | 779 2 | × | 1 31 | x | + | 152 31 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
| = | 5 | x | + | 779 62 | x | + | 152 31 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
| = | 1089 62 | x | + | 152 31 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
| = | 1089 62 | x | + | 152 31 | x | + | 152 31 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 1089 62 | x | + | 152 31 | x | + | 2280 31 | + | 3 | ( | x | + | 30 | ) |
| = | 1393 62 | x | + | 2280 31 | + | 3 | ( | x | + | 30 | ) |
| = | 1393 62 | x | + | 2280 31 | + | 3 | x | + | 3 | × | 30 |
| = | 1393 62 | x | + | 2280 31 | + | 3 | x | + | 90 |
| = | 1579 62 | x | + | 5070 31 |
1579 62 | x | + | 5070 31 | = | 1462 |
Transposition :
1579 62 | x | = | 1462 | − | 5070 31 |
Combine the items on the right of the equation:
1579 62 | x | = | 40252 31 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 40252 31 | ÷ | 1579 62 |
| = | 40252 31 | × | 62 1579 |
| = | 40252 | × | 2 1579 |
We obtained :
| x | = | 80504 1579 |
Convert the result to decimal form :
| x | = | 50.984167 |