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 21:63 = （35.6%-X）:（X—14.2%） .
Question type: Equation
Solution:Original question:
| 21 | ÷ | 63 | = | ( | 178 500 | − | X | ) | ÷ | ( | X | − | 71 500 | ) |
| Multiply both sides of the equation by: | ( | X | − | 71 500 | ) |
| 21 | ÷ | 63 | × | ( | X | − | 71 500 | ) | = | ( | 178 500 | − | X | ) |
| 21 | ÷ | 63 | × | X | − | 21 | ÷ | 63 | × | 71 500 | = | ( | 178 500 | − | X | ) |
| 21 | ÷ | 63 | × | X | − | 21 | ÷ | 63 | × | 71 500 | = | 178 500 | − | X |
1 3 | X | − | 71 1500 | = | 178 500 | − | X |
Transposition :
1 3 | X | + | X | = | 178 500 | + | 71 1500 |
Combine the items on the left of the equation:
4 3 | X | = | 178 500 | + | 71 1500 |
Combine the items on the right of the equation:
4 3 | X | = | 121 300 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 121 300 | ÷ | 4 3 |
| = | 121 300 | × | 3 4 |
| = | 121 100 | × | 1 4 |
We obtained :
| X | = | 121 400 |
Convert the result to decimal form :
| X | = | 0.3025 |