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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.
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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 (Y-10%)÷(15%-10%) = (0-2)÷(-8-2) .
    Question type: Equation
    Solution:Original question:
     ( Y
10
100
) ÷ (
15
100
10
100
) = (02) ÷ ( - 82)
     Multiply both sides of the equation by:(
15
100
10
100
) ,  ( - 82)
     ( Y
10
100
)( - 82) = (02)(
15
100
10
100
)
    Remove a bracket on the left of the equation::
      Y ( - 82)
10
100
( - 82) = (02)(
15
100
10
100
)
    Remove a bracket on the right of the equation::
      Y ( - 82)
10
100
( - 82) = 0(
15
100
10
100
)2(
15
100
10
100
)
    Remove a bracket on the left of the equation:
      - Y × 8 Y × 2
10
100
( - 82) = 0(
15
100
10
100
)2(
15
100
10
100
)
    Remove a bracket on the right of the equation::
      - Y × 8 Y × 2
10
100
( - 82) = 0 ×
15
100
0 ×
10
100
2(
15
100
10
100
)
    The equation is reduced to :
      - Y × 8 Y × 2
10
100
( - 82) = 0 0 2(
15
100
10
100
)
    The equation is reduced to :
      - 10 Y
10
100
( - 82) = 0 2(
15
100
10
100
)
    Remove a bracket on the left of the equation:
      - 10 Y +
10
100
× 8 +
10
100
× 2 = - 2(
15
100
10
100
)
    Remove a bracket on the right of the equation::
      - 10 Y +
10
100
× 8 +
10
100
× 2 = - 2 ×
15
100
+ 2 ×
10
100
    The equation is reduced to :
      - 10 Y +
4
5
+
1
5
= -
3
10
+
1
5
    The equation is reduced to :
      - 10 Y + 1 = -
1
10

    Transposition :
      - 10 Y = -
1
10
1

    Combine the items on the right of the equation:
      - 10 Y = -
11
10

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
11
10
= 10 Y

    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 :
     10 Y =
11
10

    The coefficient of the unknown number is reduced to 1 :
      Y =
11
10
÷ 10
        =
11
10
×
1
10

    We obtained :
      Y =
11
100
    This is the solution of the equation.

    Convert the result to decimal form :
      Y = 0.11



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