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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 0.36x*0.34+0.5x*0.33+0.14x*0.72+180 = 6055+0.03*0.36x+0.05*0.5x+0.1*0.14x .
Question type: Equation
Solution:Original question:
The equation is transformed into :
The equation is transformed into :
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.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 0.36x*0.34+0.5x*0.33+0.14x*0.72+180 = 6055+0.03*0.36x+0.05*0.5x+0.1*0.14x .
Question type: Equation
Solution:Original question:
9 25 | x | × | 17 50 | + | 1 2 | x | × | 33 100 | + | 7 50 | x | × | 18 25 | + | 180 | = | 6055 | + | 3 100 | × | 9 25 | x | + | 1 20 | × | 1 2 | x | + | 1 10 | × | 7 50 | x |
| Left side of the equation = | 153 1250 | x | + | 33 200 | x | + | 63 625 | x | + | 180 |
| = | 1941 5000 | x | + | 180 |
1941 5000 | x | + | 180 | = | 6055 | + | 3 100 | × | 9 25 | x | + | 1 20 | × | 1 2 | x | + | 1 10 | × | 7 50 | x |
| Right side of the equation = | 6055 | + | 27 2500 | x | + | 1 40 | x | + | 7 500 | x |
| = | 6055 | + | 249 5000 | x |
1941 5000 | x | + | 180 | = | 6055 | + | 249 5000 | x |
Transposition :
1941 5000 | x | − | 249 5000 | x | = | 6055 | − | 180 |
Combine the items on the left of the equation:
423 1250 | x | = | 6055 | − | 180 |
Combine the items on the right of the equation:
423 1250 | x | = | 5875 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5875 | ÷ | 423 1250 |
| = | 5875 | × | 1250 423 |
We obtained :
| x | = | 7343750 423 |
By reducing fraction, we can get:
| x | = | 156250 9 |
Convert the result to decimal form :
| x | = | 17361.111111 |