Overview: 6 questions will be solved this time.Among them
☆6 equations
[ 1/6 Equation]
Work: Find the solution of equation 0.2x+0.5x-2.5 = 3.8 .
Question type: Equation
Solution:Original question:| Left side of the equation = | 7 10 | x | − | 5 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.
[ 2/6 Equation]
Work: Find the solution of equation 0.8x-4.7 = 3+0.1x .
Question type: Equation
Solution:Original question:
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.
[ 3/6 Equation]
Work: Find the solution of equation 2(x+18.3) = 67.8 .
Question type: Equation
Solution:Original question: Remove the bracket on the left of the equation:
| Left side of the equation = | 2 | x | + | 2 | × | 183 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.
Convert the result to decimal form :
[ 4/6 Equation]
Work: Find the solution of equation 0.9x+2.1 = 2.9+0.1x .
Question type: Equation
Solution:Original question:| | 9 10 | x | + | 21 10 | = | 29 10 | + | 1 10 | x |
Transposition :
| | 9 10 | x | − | 1 10 | x | = | 29 10 | − | 21 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.
[ 5/6 Equation]
Work: Find the solution of equation 0.7x+0.1x-3.5 = 7.7 .
Question type: Equation
Solution:Original question:| | 7 10 | x | + | 1 10 | x | − | 7 2 | = | 77 10 |
| Left side of the equation = | 4 5 | x | − | 7 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.
[ 6/6 Equation]
Work: Find the solution of equation 0.3(x-9) = 12.75 .
Question type: Equation
Solution:Original question: Remove the bracket on the left of the equation:
| Left side of the equation = | 3 10 | x | − | 3 10 | × | 9 |
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.
Convert the result to decimal form :
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