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 (500*0.523+x)/(500+x) = 0.6 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (500*0.523+x)/(500+x) = 0.6 .
Question type: Equation
Solution:Original question:
| ( | 500 | × | 523 1000 | + | x | ) | ÷ | ( | 500 | + | x | ) | = | 3 5 |
| Multiply both sides of the equation by: | ( | 500 | + | x | ) |
| ( | 500 | × | 523 1000 | + | x | ) | = | 3 5 | ( | 500 | + | x | ) |
| 500 | × | 523 1000 | + | x | = | 3 5 | ( | 500 | + | x | ) |
| 500 | × | 523 1000 | + | x | = | 3 5 | × | 500 | + | 3 5 | x |
523 2 | + | x | = | 300 | + | 3 5 | x |
Transposition :
| x | − | 3 5 | x | = | 300 | − | 523 2 |
Combine the items on the left of the equation:
2 5 | x | = | 300 | − | 523 2 |
Combine the items on the right of the equation:
2 5 | x | = | 77 2 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 77 2 | ÷ | 2 5 |
| = | 77 2 | × | 5 2 |
We obtained :
| x | = | 385 4 |
Convert the result to decimal form :
| x | = | 96.25 |