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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 1.3x*2/3+(1.3x*0.7)*1/3-x = 1020 .
    Question type: Equation
    Solution:Original question:
     
13
10
x × 2 ÷ 3 + (
13
10
x ×
7
10
) × 1 ÷ 3 x = 1020
     Left side of the equation =
13
15
x + (
13
10
x ×
7
10
) ×
1
3
x
                                             = -
2
15
x + (
13
10
x ×
7
10
) ×
1
3
    The equation is transformed into :
      -
2
15
x + (
13
10
x ×
7
10
) ×
1
3
= 1020
    Remove the bracket on the left of the equation:
     Left side of the equation = -
2
15
x +
13
10
x ×
7
10
×
1
3
                                             = -
2
15
x +
91
300
x
                                             =
17
100
x
    The equation is transformed into :
     
17
100
x = 1020

    The coefficient of the unknown number is reduced to 1 :
      x = 1020 ÷
17
100
        = 1020 ×
100
17
        = 60 × 100

    We obtained :
      x = 6000
    This is the solution of the equation.




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