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 2.155X+(1000/126)*(850-X) = 2380 .
Question type: Equation
Solution:Original question:
431 200 | X | + | ( | 1000 | ÷ | 126 | ) | ( | 850 | − | X | ) | = | 2380 |
| Left side of the equation = | 431 200 | X | + | 1000 | ÷ | 126 | × | ( | 850 | − | X | ) |
| = | 431 200 | X | + | 500 63 | ( | 850 | − | X | ) |
| = | 431 200 | X | + | 500 63 | × | 850 | − | 500 63 | X |
| = | 431 200 | X | + | 425000 63 | − | 500 63 | X |
| = | - | 72847 12600 | X | + | 425000 63 |
| - | 72847 12600 | X | + | 425000 63 | = | 2380 |
Transposition :
| - | 72847 12600 | X | = | 2380 | − | 425000 63 |
Combine the items on the right of the equation:
| - | 72847 12600 | X | = | - | 275060 63 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
275060 63 | = | 72847 12600 | 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 :
72847 12600 | X | = | 275060 63 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 275060 63 | ÷ | 72847 12600 |
| = | 275060 63 | × | 12600 72847 |
| = | 275060 | × | 200 72847 |
We obtained :
| X | = | 55012000 72847 |
Convert the result to decimal form :
| X | = | 755.171798 |