Overview: 6 questions will be solved this time.Among them
☆6 equations
[ 1/6 Equation]
Work: Find the solution of equation 0.8x+0.3x-2.2 = 4.4 .
Question type: Equation
Solution:Original question:| Left side of the equation = | 11 10 | x | − | 11 5 |
The equation is transformed into :
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.
[ 2/6 Equation]
Work: Find the solution of equation 0.3x+0.4x+2.8 = 9.1 .
Question type: Equation
Solution:Original question:| | 3 10 | x | + | 2 5 | x | + | 14 5 | = | 91 10 |
| Left side of the equation = | 7 10 | x | + | 14 5 |
The equation is transformed into :
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.
[ 3/6 Equation]
Work: Find the solution of equation 0.5x+3.9 = 4.7+0.4x .
Question type: Equation
Solution:Original question:| | 1 2 | x | + | 39 10 | = | 47 10 | + | 2 5 | x |
Transposition :
| | 1 2 | x | − | 2 5 | x | = | 47 10 | − | 39 10 |
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.
[ 4/6 Equation]
Work: Find the solution of equation 0.4x+0.8x-1.5 = 10.5 .
Question type: Equation
Solution:Original question:| Left side of the equation = | 6 5 | x | − | 3 2 |
The equation is transformed into :
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.
[ 5/6 Equation]
Work: Find the solution of equation 0.6x+3.1 = 5.1+0.1x .
Question type: Equation
Solution:Original question:| | 3 5 | x | + | 31 10 | = | 51 10 | + | 1 10 | x |
Transposition :
| | 3 5 | x | − | 1 10 | x | = | 51 10 | − | 31 10 |
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.
[ 6/6 Equation]
Work: Find the solution of equation 7(1.2-x) = 2.1 .
Question type: Equation
Solution:Original question: Remove the bracket on the left of the equation:
| Left side of the equation = | 7 | × | 6 5 | − | 7 | x |
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
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 :
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