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 1/11(2X-3)+1/19(2X-3)+2X/13 = 3/13 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | 11 | × | ( | 2 | X | − | 3 | ) | + | 1 | ÷ | 19 | × | ( | 2 | X | − | 3 | ) | + | 2 | X | ÷ | 13 | = | 3 | ÷ | 13 |
| Left side of the equation = | 1 11 | ( | 2 | X | − | 3 | ) | + | 1 19 | ( | 2 | X | − | 3 | ) | + | 2 13 | X |
1 11 | ( | 2 | X | − | 3 | ) | + | 1 19 | ( | 2 | X | − | 3 | ) | + | 2 13 | X | = | 3 | ÷ | 13 |
| Left side of the equation = | 1 11 | × | 2 | X | − | 1 11 | × | 3 | + | 1 19 | ( | 2 | X | − | 3 | ) | + | 2 13 | X |
| = | 2 11 | X | − | 3 11 | + | 1 19 | ( | 2 | X | − | 3 | ) | + | 2 13 | X |
| = | 48 143 | X | − | 3 11 | + | 1 19 | ( | 2 | X | − | 3 | ) |
| = | 48 143 | X | − | 3 11 | + | 1 19 | × | 2 | X | − | 1 19 | × | 3 |
| = | 48 143 | X | − | 3 11 | + | 2 19 | X | − | 3 19 |
| = | 1198 2717 | X | − | 90 209 |
1198 2717 | X | − | 90 209 | = | 3 | ÷ | 13 |
| Right side of the equation = | 3 13 |
1198 2717 | X | − | 90 209 | = | 3 13 |
Transposition :
1198 2717 | X | = | 3 13 | + | 90 209 |
Combine the items on the right of the equation:
1198 2717 | X | = | 1797 2717 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1797 2717 | ÷ | 1198 2717 |
| = | 1797 2717 | × | 2717 1198 |
| = | 1797 | × | 1 1198 |
We obtained :
| X | = | 1797 1198 |
Convert the result to decimal form :
| X | = | 1.5 |