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 1.13x/0.13+1.03(19783.16-x)/0.03 = 298178.60 .
Question type: Equation
Solution:Original question:
113 100 | x | ÷ | 13 100 | + | 103 100 | ( | 494579 25 | − | x | ) | ÷ | 3 100 | = | 1490893 5 |
| Left side of the equation = | 113 13 | x | + | 103 3 | ( | 494579 25 | − | x | ) |
113 13 | x | + | 103 3 | ( | 494579 25 | − | x | ) | = | 1490893 5 |
| Left side of the equation = | 113 13 | x | + | 103 3 | × | 494579 25 | − | 103 3 | x |
| = | 113 13 | x | + | 50941637 75 | − | 103 3 | x |
| = | - | 1000 39 | x | + | 50941637 75 |
| - | 1000 39 | x | + | 50941637 75 | = | 1490893 5 |
Transposition :
| - | 1000 39 | x | = | 1490893 5 | − | 50941637 75 |
Combine the items on the right of the equation:
| - | 1000 39 | x | = | - | 28578242 75 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
28578242 75 | = | 1000 39 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
1000 39 | x | = | 28578242 75 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 28578242 75 | ÷ | 1000 39 |
| = | 28578242 75 | × | 39 1000 |
| = | 14289121 25 | × | 13 500 |
We obtained :
| x | = | 185758573 12500 |
Convert the result to decimal form :
| x | = | 14860.68584 |