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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: 2 questions will be solved this time.Among them
☆2 equations
[ 1/2 Equation]
Work: Find the solution of equation (155*x+34.4*26)/(155+26) = 22.7 .
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 :
The equation is reduced to :
Transposition :
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 :
[ 2/2 Equation]
Work: Find the solution of equation (155*x+39.5*31)/(155+31) = 26.4 .
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 :
The equation is reduced to :
Transposition :
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.
By reducing fraction, we can get:
Convert the result to decimal form :
☆2 equations
[ 1/2 Equation]
Work: Find the solution of equation (155*x+34.4*26)/(155+26) = 22.7 .
Question type: Equation
Solution:Original question:
| ( | 155 | x | + | 172 5 | × | 26 | ) | ÷ | ( | 155 | + | 26 | ) | = | 227 10 |
| Multiply both sides of the equation by: | ( | 155 | + | 26 | ) |
| ( | 155 | x | + | 172 5 | × | 26 | ) | = | 227 10 | ( | 155 | + | 26 | ) |
| 155 | x | + | 172 5 | × | 26 | = | 227 10 | ( | 155 | + | 26 | ) |
| 155 | x | + | 172 5 | × | 26 | = | 227 10 | × | 155 | + | 227 10 | × | 26 |
| 155 | x | + | 4472 5 | = | 7037 2 | + | 2951 5 |
| 155 | x | + | 4472 5 | = | 41087 10 |
Transposition :
| 155 | x | = | 41087 10 | − | 4472 5 |
Combine the items on the right of the equation:
| 155 | x | = | 32143 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 32143 10 | ÷ | 155 |
| = | 32143 10 | × | 1 155 |
We obtained :
| x | = | 32143 1550 |
Convert the result to decimal form :
| x | = | 20.737419 |
[ 2/2 Equation]
Work: Find the solution of equation (155*x+39.5*31)/(155+31) = 26.4 .
Question type: Equation
Solution:Original question:
| ( | 155 | x | + | 79 2 | × | 31 | ) | ÷ | ( | 155 | + | 31 | ) | = | 132 5 |
| Multiply both sides of the equation by: | ( | 155 | + | 31 | ) |
| ( | 155 | x | + | 79 2 | × | 31 | ) | = | 132 5 | ( | 155 | + | 31 | ) |
| 155 | x | + | 79 2 | × | 31 | = | 132 5 | ( | 155 | + | 31 | ) |
| 155 | x | + | 79 2 | × | 31 | = | 132 5 | × | 155 | + | 132 5 | × | 31 |
| 155 | x | + | 2449 2 | = | 4092 | + | 4092 5 |
| 155 | x | + | 2449 2 | = | 24552 5 |
Transposition :
| 155 | x | = | 24552 5 | − | 2449 2 |
Combine the items on the right of the equation:
| 155 | x | = | 36859 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 36859 10 | ÷ | 155 |
| = | 36859 10 | × | 1 155 |
We obtained :
| x | = | 36859 1550 |
By reducing fraction, we can get:
| x | = | 1189 50 |
Convert the result to decimal form :
| x | = | 23.78 |