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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer
    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
                                               =
38
25
p
    The equation is transformed into :
     1 p =
38
25
p

    Transposition :
     1 p
38
25
p = 0

    Combine the items on the left of the equation:
      -
13
25
p = 0

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      - 0 =
13
25
p

    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 :
     
13
25
p = - 0

    The coefficient of the unknown number is reduced to 1 :
      p = - 0 ÷
13
25
        = - 0 ×
25
13

    We obtained :
      p = 0
    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
                                               =
97
50
p
    The equation is transformed into :
     2 p =
97
50
p

    Transposition :
     2 p
97
50
p = 0

    Combine the items on the left of the equation:
     
3
50
p = 0

    The coefficient of the unknown number is reduced to 1 :
      p = 0 ÷
3
50
        = 0 ×
50
3

    We obtained :
      p = 0
    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
                                               =
91
50
p
    The equation is transformed into :
     3 p =
91
50
p

    Transposition :
     3 p
91
50
p = 0

    Combine the items on the left of the equation:
     
59
50
p = 0

    The coefficient of the unknown number is reduced to 1 :
      p = 0 ÷
59
50
        = 0 ×
50
59

    We obtained :
      p = 0
    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 :
     6 p = 1

    The coefficient of the unknown number is reduced to 1 :
      p = 1 ÷ 6
        = 1 ×
1
6

    We obtained :
      p =
1
6
    This is the solution of the equation.

    Convert the result to decimal form :
      p = 0.166667



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
若问题没有得到解决,请参阅:《热点问题》




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