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 X/87-0.5X/1000+（95-X）/135 = 0.286 .
Question type: Equation
Solution:Original question:
| X | ÷ | 87 | − | 1 2 | X | ÷ | 1000 | + | ( | 95 | − | X | ) | ÷ | 135 | = | 143 500 |
| Left side of the equation = | X | × | 1 87 | − | 1 2000 | X | + | ( | 95 | − | X | ) | × | 1 135 |
| = | 1913 174000 | X | + | ( | 95 | − | X | ) | × | 1 135 |
1913 174000 | X | + | ( | 95 | − | X | ) | × | 1 135 | = | 143 500 |
| Left side of the equation = | 1913 174000 | X | + | 95 | × | 1 135 | − | X | × | 1 135 |
| = | 1913 174000 | X | + | 19 27 | − | X | × | 1 135 |
| = | 5617 1566000 | X | + | 19 27 |
5617 1566000 | X | + | 19 27 | = | 143 500 |
Transposition :
5617 1566000 | X | = | 143 500 | − | 19 27 |
Combine the items on the right of the equation:
5617 1566000 | X | = | - | 5639 13500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | - | 5639 13500 | ÷ | 5617 1566000 |
| = | - | 5639 13500 | × | 1566000 5617 |
| = | - | 5639 | × | 116 5617 |
We obtained :
| X | = | - | 654124 5617 |
Convert the result to decimal form :
| X | = | - 116.454335 |