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    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 1/(1/200+1/510)*I-3 = (0.02-I)*8400/43 .
    Question type: Equation
    Solution:Original question:
     1 ÷ (1 ÷ 200 + 1 ÷ 510) × I 3 = (
1
50
I ) × 8400 ÷ 43
     Multiply both sides of the equation by:(1 ÷ 200 + 1 ÷ 510)
     1 I 3(1 ÷ 200 + 1 ÷ 510) = (
1
50
I ) × 8400 ÷ 43 × (1 ÷ 200 + 1 ÷ 510)
    Remove a bracket on the left of the equation::
     1 I 3 × 1 ÷ 2003 × 1 ÷ 510 = (
1
50
I ) × 8400 ÷ 43 × (1 ÷ 200 + 1 ÷ 510)
    Remove a bracket on the right of the equation::
     1 I 3 × 1 ÷ 2003 × 1 ÷ 510 =
1
50
× 8400 ÷ 43 × (1 ÷ 200 + 1 ÷ 510) I × 8400 ÷ 43 × (1 ÷ 200 + 1 ÷ 510)
    The equation is reduced to :
     1 I
3
200
1
170
=
168
43
(1 ÷ 200 + 1 ÷ 510) I ×
8400
43
(1 ÷ 200 + 1 ÷ 510)
    The equation is reduced to :
     1 I
71
3400
=
168
43
(1 ÷ 200 + 1 ÷ 510) I ×
8400
43
(1 ÷ 200 + 1 ÷ 510)
    Remove a bracket on the right of the equation::
     1 I
71
3400
=
168
43
× 1 ÷ 200 +
168
43
× 1 ÷ 510 I ×
8400
43
(1 ÷ 200 + 1 ÷ 510)
    The equation is reduced to :
     1 I
71
3400
=
21
1075
+
28
3655
I ×
8400
43
(1 ÷ 200 + 1 ÷ 510)
    The equation is reduced to :
     1 I
71
3400
=
497
18275
I ×
8400
43
(1 ÷ 200 + 1 ÷ 510)
    Remove a bracket on the right of the equation::
     1 I
71
3400
=
497
18275
I ×
8400
43
× 1 ÷ 200 I ×
8400
43
× 1 ÷ 510
    The equation is reduced to :
     1 I
71
3400
=
497
18275
I ×
42
43
I ×
280
731
    The equation is reduced to :
     1 I
71
3400
=
497
18275
994
731
I

    Transposition :
     1 I +
994
731
I =
497
18275
+
71
3400

    Combine the items on the left of the equation:
     
1725
731
I =
497
18275
+
71
3400

    Combine the items on the right of the equation:
     
1725
731
I =
7029
146200

    The coefficient of the unknown number is reduced to 1 :
      I =
7029
146200
÷
1725
731
        =
7029
146200
×
731
1725
        =
2343
200
×
1
575

    We obtained :
      I =
2343
115000
    This is the solution of the equation.

    Convert the result to decimal form :
      I = 0.020374



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