Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 (163+279)/31*x+240.5/31*(x+15)+124/31*(x+30) = 1713 .
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 (163+279)/31*x+240.5/31*(x+15)+124/31*(x+30) = 1713 .
Question type: Equation
Solution:Original question:
| ( | 163 | + | 279 | ) | ÷ | 31 | × | x | + | 481 2 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 124 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 1713 |
| Left side of the equation = | ( | 163 | + | 279 | ) | × | 1 31 | x | + | 481 62 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| ( | 163 | + | 279 | ) | × | 1 31 | x | + | 481 62 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) | = | 1713 |
| Left side of the equation = | 163 | × | 1 31 | x | + | 279 | × | 1 31 | x | + | 481 62 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 163 31 | x | + | 9 | x | + | 481 62 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 442 31 | x | + | 481 62 | ( | x | + | 15 | ) | + | 4 | ( | x | + | 30 | ) |
| = | 442 31 | x | + | 481 62 | x | + | 481 62 | × | 15 | + | 4 | ( | x | + | 30 | ) |
| = | 442 31 | x | + | 481 62 | x | + | 7215 62 | + | 4 | ( | x | + | 30 | ) |
| = | 1365 62 | x | + | 7215 62 | + | 4 | ( | x | + | 30 | ) |
| = | 1365 62 | x | + | 7215 62 | + | 4 | x | + | 4 | × | 30 |
| = | 1365 62 | x | + | 7215 62 | + | 4 | x | + | 120 |
| = | 1613 62 | x | + | 14655 62 |
1613 62 | x | + | 14655 62 | = | 1713 |
Transposition :
1613 62 | x | = | 1713 | − | 14655 62 |
Combine the items on the right of the equation:
1613 62 | x | = | 91551 62 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 91551 62 | ÷ | 1613 62 |
| = | 91551 62 | × | 62 1613 |
| = | 91551 | × | 1 1613 |
We obtained :
| x | = | 91551 1613 |
Convert the result to decimal form :
| x | = | 56.758215 |