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% = 42.21%*x+（1-x）*（-29.68%） .
Question type: Equation
Solution:Original question:
2 100 | = | 4221 10000 | x | + | ( | 1 | − | x | ) | ( | - | 742 2500 | ) |
| Right side of the equation = | 4221 10000 | x | + | 1 | ( | - | 742 2500 | ) | − | x | ( | - | 742 2500 | ) |
| = | 4221 10000 | x | − | 1 | × | 742 2500 | − | x | ( | - | 742 2500 | ) |
| = | 4221 10000 | x | − | 371 1250 | − | x | ( | - | 742 2500 | ) |
| = | 4221 10000 | x | − | 371 1250 | + | x | × | 742 2500 |
| = | 7189 10000 | x | − | 371 1250 |
2 100 | = | 7189 10000 | x | − | 371 1250 |
Transposition :
| - | 7189 10000 | x | = | - | 371 1250 | − | 2 100 |
Combine the items on the right of the equation:
| - | 7189 10000 | x | = | - | 198 625 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
198 625 | = | 7189 10000 | 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 :
7189 10000 | x | = | 198 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 198 625 | ÷ | 7189 10000 |
| = | 198 625 | × | 10000 7189 |
| = | 198 | × | 16 7189 |
We obtained :
| x | = | 3168 7189 |
Convert the result to decimal form :
| x | = | 0.440673 |