Overview: 4 questions will be solved this time.Among them
☆4 equations
[ 1/4 Equation]
Work: Find the solution of equation p1 = 0.64p1+0.2p2+0.16p3 .
Question type: Equation
Solution:Original question:| | p | × | 1 | = | 16 25 | p | × | 1 | + | 1 5 | p | × | 2 | + | 4 25 | p | × | 3 |
| Right side of the equation = | 16 25 | p | + | 2 5 | p | + | 12 25 | p |
The equation is transformed into :
Transposition :
Combine the items on the left 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.
[ 2/4 Equation]
Work: Find the solution of equation p2 = 0.08p1+0.9p2+0.02p3 .
Question type: Equation
Solution:Original question:| | p | × | 2 | = | 2 25 | p | × | 1 | + | 9 10 | p | × | 2 | + | 1 50 | p | × | 3 |
| Right side of the equation = | 2 25 | p | + | 9 5 | p | + | 3 50 | p |
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
[ 3/4 Equation]
Work: Find the solution of equation p3 = 0.24p1+0.7p2+0.06p3 .
Question type: Equation
Solution:Original question:| | p | × | 3 | = | 6 25 | p | × | 1 | + | 7 10 | p | × | 2 | + | 3 50 | p | × | 3 |
| Right side of the equation = | 6 25 | p | + | 7 5 | p | + | 9 50 | p |
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
[ 4/4 Equation]
Work: Find the solution of equation p1+p2+p3 = 1 .
Question type: Equation
Solution:Original question:| | p | × | 1 | + | p | × | 2 | + | p | × | 3 | = | 1 |
| Left side of the equation = | 6 | p |
The equation is transformed into :
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 :
以下题目输入有误或有空行,请仔细检查,改正后再计算:
1==>错误类型:不等式含有多元未知数(6): pj>0,j=1,2,3
解多元方程,请点击多元方程
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