Overview: 6 questions will be solved this time.Among them
☆6 equations
[ 1/6 Equation]
Work: Find the solution of equation 0.5x+0.8x+1.4 = 10.5 .
Question type: Equation
Solution:Original question:| Left side of the equation = | 13 10 | x | + | 7 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 (x-4.6)×2.3 = 9.338 .
Question type: Equation
Solution:Original question:| | ( | x | − | 23 5 | ) | × | 23 10 | = | 4669 500 |
Remove the bracket on the left of the equation:
| Left side of the equation = | x | × | 23 10 | − | 23 5 | × | 23 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 :
[ 3/6 Equation]
Work: Find the solution of equation 0.4x+1.1 = 3.3+0.2x .
Question type: Equation
Solution:Original question:| | 2 5 | x | + | 11 10 | = | 33 10 | + | 1 5 | x |
Transposition :
| | 2 5 | x | − | 1 5 | x | = | 33 10 | − | 11 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 0.2x+0.2x+2.8 = 7.2 .
Question type: Equation
Solution:Original question:| Left side of the equation = | 2 5 | 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.
[ 5/6 Equation]
Work: Find the solution of equation 1.5(x-20) = 90 .
Question type: Equation
Solution:Original question: Remove the bracket on the left of the equation:
| Left side of the equation = | 3 2 | x | − | 3 2 | × | 20 |
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 0.1x+0.6x-3.9 = 5.2 .
Question type: Equation
Solution:Original question:| | 1 10 | x | + | 3 5 | x | − | 39 10 | = | 26 5 |
| Left side of the equation = | 7 10 | x | − | 39 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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