Overview: 6 questions will be solved this time.Among them
☆6 equations
[ 1/6 Equation]
Work: Find the solution of equation 0.8x+3.1 = 8.7+0.4x .
Question type: Equation
Solution:Original question:| | 4 5 | x | + | 31 10 | = | 87 10 | + | 2 5 | x |
Transposition :
| | 4 5 | x | − | 2 5 | x | = | 87 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.
[ 2/6 Equation]
Work: Find the solution of equation 0.9x+2.3 = 7.3+0.4x .
Question type: Equation
Solution:Original question:| | 9 10 | x | + | 23 10 | = | 73 10 | + | 2 5 | x |
Transposition :
| | 9 10 | x | − | 2 5 | x | = | 73 10 | − | 23 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.
[ 3/6 Equation]
Work: Find the solution of equation 3(x+2.1) = 10.5 .
Question type: Equation
Solution:Original question: Remove the bracket on the left of the equation:
| Left side of the equation = | 3 | x | + | 3 | × | 21 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 0.4x+0.1x+1.9 = 4.9 .
Question type: Equation
Solution:Original question:| | 2 5 | x | + | 1 10 | x | + | 19 10 | = | 49 10 |
| Left side of the equation = | 1 2 | x | + | 19 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.
[ 5/6 Equation]
Work: Find the solution of equation 0.8x-3.9 = 1.3+0.4x .
Question type: Equation
Solution:Original question:| | 4 5 | x | − | 39 10 | = | 13 10 | + | 2 5 | x |
Transposition :
| | 4 5 | x | − | 2 5 | x | = | 13 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.
[ 6/6 Equation]
Work: Find the solution of equation (x-0.5)÷0.2 = 10 .
Question type: Equation
Solution:Original question: Remove the bracket on the left of the equation:
| Left side of the equation = | x | × | 5 | − | 1 2 | × | 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.
Convert the result to decimal form :
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