Overview: 6 questions will be solved this time.Among them
☆6 equations
[ 1/6 Equation]
Work: Find the solution of equation 0.7x+4.3 = 6.5+0.5x .
Question type: Equation
Solution:Original question:| | 7 10 | x | + | 43 10 | = | 13 2 | + | 1 2 | x |
Transposition :
| | 7 10 | x | − | 1 2 | x | = | 13 2 | − | 43 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.
[ 2/6 Equation]
Work: Find the solution of equation 0.4x+0.1x+4.9 = 7.4 .
Question type: Equation
Solution:Original question:| | 2 5 | x | + | 1 10 | x | + | 49 10 | = | 37 5 |
| Left side of the equation = | 1 2 | x | + | 49 10 |
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 0.1x+0.9x+2 = 15 .
Question type: Equation
Solution:Original question:| Left side of the equation = | 1 | x | + | 2 |
The equation is transformed into :
Transposition :
i.e.
Combine the items on the right of the equation:
This is the solution of the equation.
This is the solution of the equation.
[ 4/6 Equation]
Work: Find the solution of equation 0.7x+0.4x-2.6 = 11.7 .
Question type: Equation
Solution:Original question:| | 7 10 | x | + | 2 5 | x | − | 13 5 | = | 117 10 |
| Left side of the equation = | 11 10 | x | − | 13 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.
[ 5/6 Equation]
Work: Find the solution of equation 0.8x-3.7 = 3.3+0.3x .
Question type: Equation
Solution:Original question:| | 4 5 | x | − | 37 10 | = | 33 10 | + | 3 10 | x |
Transposition :
| | 4 5 | x | − | 3 10 | x | = | 33 10 | + | 37 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 0.1x+0.7x-3.3 = 2.3 .
Question type: Equation
Solution:Original question:| | 1 10 | x | + | 7 10 | x | − | 33 10 | = | 23 10 |
| Left side of the equation = | 4 5 | x | − | 33 10 |
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.
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