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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 (217+371.5)/31*x+151.5/31*(x+15)+124/31(x+30) = 1839 .
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 (217+371.5)/31*x+151.5/31*(x+15)+124/31(x+30) = 1839 .
Question type: Equation
Solution:Original question:
| ( | 217 | + | 743 2 | ) | ÷ | 31 | × | x | + | 303 2 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 124 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 1839 |
| Left side of the equation = | ( | 217 | + | 743 2 | ) | × | 1 31 | x | + | 303 62 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| ( | 217 | + | 743 2 | ) | × | 1 31 | x | + | 303 62 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) | = | 1839 |
| Left side of the equation = | 217 | × | 1 31 | x | + | 743 2 | × | 1 31 | x | + | 303 62 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 7 | x | + | 743 62 | x | + | 303 62 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 1177 62 | x | + | 303 62 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 1177 62 | x | + | 303 62 | x | + | 303 62 | × | 15 | + | 4 | ( | x | + | 30 | ) |
| = | 1177 62 | x | + | 303 62 | x | + | 4545 62 | + | 4 | ( | x | + | 30 | ) |
| = | 740 31 | x | + | 4545 62 | + | 4 | ( | x | + | 30 | ) |
| = | 740 31 | x | + | 4545 62 | + | 4 | x | + | 4 | × | 30 |
| = | 740 31 | x | + | 4545 62 | + | 4 | x | + | 120 |
| = | 864 31 | x | + | 11985 62 |
864 31 | x | + | 11985 62 | = | 1839 |
Transposition :
864 31 | x | = | 1839 | − | 11985 62 |
Combine the items on the right of the equation:
864 31 | x | = | 102033 62 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 102033 62 | ÷ | 864 31 |
| = | 102033 62 | × | 31 864 |
| = | 3779 2 | × | 1 32 |
We obtained :
| x | = | 3779 64 |
Convert the result to decimal form :
| x | = | 59.046875 |