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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 434/31*x+144/31*(x+15)+93/31*(x+30) = 1074 .
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 434/31*x+144/31*(x+15)+93/31*(x+30) = 1074 .
Question type: Equation
Solution:Original question:
| 434 | ÷ | 31 | × | x | + | 144 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 93 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 1074 |
| Left side of the equation = | 14 | x | + | 144 31 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
| 14 | x | + | 144 31 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 1074 |
| Left side of the equation = | 14 | x | + | 144 31 | x | + | 144 31 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 14 | x | + | 144 31 | x | + | 2160 31 | + | 3 | ( | x | + | 30 | ) |
| = | 578 31 | x | + | 2160 31 | + | 3 | ( | x | + | 30 | ) |
| = | 578 31 | x | + | 2160 31 | + | 3 | x | + | 3 | × | 30 |
| = | 578 31 | x | + | 2160 31 | + | 3 | x | + | 90 |
| = | 671 31 | x | + | 4950 31 |
671 31 | x | + | 4950 31 | = | 1074 |
Transposition :
671 31 | x | = | 1074 | − | 4950 31 |
Combine the items on the right of the equation:
671 31 | x | = | 28344 31 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 28344 31 | ÷ | 671 31 |
| = | 28344 31 | × | 31 671 |
| = | 28344 | × | 1 671 |
We obtained :
| x | = | 28344 671 |
Convert the result to decimal form :
| x | = | 42.241431 |