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current location:Mathematical operation > History of Inequality Computation > Answer
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 0.6*(1+y)/12*(1-6%)+y = 11% .
    Question type: Equation
    Solution:Original question:
     
3
5
(1 + y ) ÷ 12 × (1
6
100
) + y =
11
100
     Left side of the equation =
1
20
(1 + y )(1
6
100
) + y
    The equation is transformed into :
     
1
20
(1 + y )(1
6
100
) + y =
11
100
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
20
× 1(1
6
100
) +
1
20
y (1
6
100
) + y
                                             =
1
20
(1
6
100
) +
1
20
y (1
6
100
) + y
                                             =
1
20
× 1
1
20
×
6
100
+
1
20
y (1
6
100
) + y
                                             =
1
20
3
1000
+
1
20
y (1
6
100
) + y
                                             =
47
1000
+
1
20
y (1
6
100
) + y
                                             =
47
1000
+
1
20
y × 1
1
20
y ×
6
100
+ y
                                             =
47
1000
+
1
20
y
3
1000
y + y
                                             =
47
1000
+
1047
1000
y
    The equation is transformed into :
     
47
1000
+
1047
1000
y =
11
100

    Transposition :
     
1047
1000
y =
11
100
47
1000

    Combine the items on the right of the equation:
     
1047
1000
y =
63
1000

    The coefficient of the unknown number is reduced to 1 :
      y =
63
1000
÷
1047
1000
        =
63
1000
×
1000
1047
        = 21 ×
1
349

    We obtained :
      y =
21
349
    This is the solution of the equation.

    Convert the result to decimal form :
      y = 0.060172




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