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

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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (x-8%)/(9%-8%) = (0-97.96)/(-1.94-97.96) .
    Question type: Equation
    Solution:Original question:
     ( x
8
100
) ÷ (
9
100
8
100
) = (0
2449
25
) ÷ ( -
97
50
2449
25
)
     Multiply both sides of the equation by:(
9
100
8
100
) ,  ( -
97
50
2449
25
)
     ( x
8
100
)( -
97
50
2449
25
) = (0
2449
25
)(
9
100
8
100
)
    Remove a bracket on the left of the equation::
      x ( -
97
50
2449
25
)
8
100
( -
97
50
2449
25
) = (0
2449
25
)(
9
100
8
100
)
    Remove a bracket on the right of the equation::
      x ( -
97
50
2449
25
)
8
100
( -
97
50
2449
25
) = 0(
9
100
8
100
)
2449
25
(
9
100
8
100
)
    Remove a bracket on the left of the equation:
      - x ×
97
50
x ×
2449
25
8
100
( -
97
50
2449
25
) = 0(
9
100
8
100
)
2449
25
(
9
100
8
100
)
    Remove a bracket on the right of the equation::
      - x ×
97
50
x ×
2449
25
8
100
( -
97
50
2449
25
) = 0 ×
9
100
0 ×
8
100
2449
25
(
9
100
8
100
)
    The equation is reduced to :
      - x ×
97
50
x ×
2449
25
8
100
( -
97
50
2449
25
) = 0 0
2449
25
(
9
100
8
100
)
    The equation is reduced to :
      -
999
10
x
8
100
( -
97
50
2449
25
) = 0
2449
25
(
9
100
8
100
)
    Remove a bracket on the left of the equation:
      -
999
10
x +
8
100
×
97
50
+
8
100
×
2449
25
= -
2449
25
(
9
100
8
100
)
    Remove a bracket on the right of the equation::
      -
999
10
x +
8
100
×
97
50
+
8
100
×
2449
25
= -
2449
25
×
9
100
+
2449
25
×
8
100
    The equation is reduced to :
      -
999
10
x +
97
625
+
4898
625
= -
22041
2500
+
4898
625
    The equation is reduced to :
      -
999
10
x +
999
125
= -
2449
2500

    Transposition :
      -
999
10
x = -
2449
2500
999
125

    Combine the items on the right of the equation:
      -
999
10
x = -
22429
2500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
22429
2500
=
999
10
x

    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 :
     
999
10
x =
22429
2500

    The coefficient of the unknown number is reduced to 1 :
      x =
22429
2500
÷
999
10
        =
22429
2500
×
10
999
        =
22429
250
×
1
999

    We obtained :
      x =
22429
249750
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.089806



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