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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: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (82.26-6.9)/(x-8) = (40.02-6.9)/(7/15*x-8) .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
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 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.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (82.26-6.9)/(x-8) = (40.02-6.9)/(7/15*x-8) .
Question type: Equation
Solution:Original question:
| ( | 4113 50 | − | 69 10 | ) | ÷ | ( | x | − | 8 | ) | = | ( | 2001 50 | − | 69 10 | ) | ÷ | ( | 7 | ÷ | 15 | × | x | − | 8 | ) |
| Multiply both sides of the equation by: | ( | x | − | 8 | ) | , | ( | 7 | ÷ | 15 | × | x | − | 8 | ) |
| ( | 4113 50 | − | 69 10 | ) | ( | 7 | ÷ | 15 | × | x | − | 8 | ) | = | ( | 2001 50 | − | 69 10 | ) | ( | x | − | 8 | ) |
4113 50 | ( | 7 | ÷ | 15 | × | x | − | 8 | ) | − | 69 10 | ( | 7 | ÷ | 15 | × | x | − | 8 | ) | = | ( | 2001 50 | − | 69 10 | ) | ( | x | − | 8 | ) |
4113 50 | ( | 7 | ÷ | 15 | × | x | − | 8 | ) | − | 69 10 | ( | 7 | ÷ | 15 | × | x | − | 8 | ) | = | 2001 50 | ( | x | − | 8 | ) | − | 69 10 | ( | x | − | 8 | ) |
4113 50 | × | 7 | ÷ | 15 | × | x | − | 4113 50 | × | 8 | − | 69 10 | ( | 7 | ÷ | 15 | × | x | − | 8 | ) | = | 2001 50 | ( | x | − | 8 | ) | − | 69 10 | ( | x | − | 8 | ) |
4113 50 | × | 7 | ÷ | 15 | × | x | − | 4113 50 | × | 8 | − | 69 10 | ( | 7 | ÷ | 15 | × | x | − | 8 | ) | = | 2001 50 | x | − | 2001 50 | × | 8 | − | 69 10 | ( | x | − | 8 | ) |
9597 250 | x | − | 16452 25 | − | 69 10 | ( | 7 | ÷ | 15 | × | x | − | 8 | ) | = | 2001 50 | x | − | 8004 25 | − | 69 10 | ( | x | − | 8 | ) |
9597 250 | x | − | 16452 25 | − | 69 10 | × | 7 | ÷ | 15 | × | x | + | 69 10 | × | 8 | = | 2001 50 | x | − | 8004 25 | − | 69 10 | ( | x | − | 8 | ) |
9597 250 | x | − | 16452 25 | − | 69 10 | × | 7 | ÷ | 15 | × | x | + | 69 10 | × | 8 | = | 2001 50 | x | − | 8004 25 | − | 69 10 | x | + | 69 10 | × | 8 |
9597 250 | x | − | 16452 25 | − | 161 50 | x | + | 276 5 | = | 2001 50 | x | − | 8004 25 | − | 69 10 | x | + | 276 5 |
4396 125 | x | − | 15072 25 | = | 828 25 | x | − | 6624 25 |
Transposition :
4396 125 | x | − | 828 25 | x | = | - | 6624 25 | + | 15072 25 |
Combine the items on the left of the equation:
256 125 | x | = | - | 6624 25 | + | 15072 25 |
Combine the items on the right of the equation:
256 125 | x | = | 8448 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8448 25 | ÷ | 256 125 |
| = | 8448 25 | × | 125 256 |
| = | 33 | × | 5 |
We obtained :
| x | = | 165 |