Mathematics
         
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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.
    It supports equations that contain mathematical functions.
    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 (870+x)÷50 = (1310+x)÷70 .
    Question type: Equation
    Solution:Original question:
     (870 + x ) ÷ 50 = (1310 + x ) ÷ 70
    Remove the bracket on the left of the equation:
     Left side of the equation = 870 ×
1
50
+ x ×
1
50
                                             =
87
5
+ x ×
1
50
    The equation is transformed into :
     
87
5
+
1
50
x = (1310 + x ) ÷ 70
    Remove the bracket on the right of the equation:
     Right side of the equation = 1310 ×
1
70
+ x ×
1
70
                                               =
131
7
+ x ×
1
70
    The equation is transformed into :
     
87
5
+
1
50
x =
131
7
+
1
70
x

    Transposition :
     
1
50
x
1
70
x =
131
7
87
5

    Combine the items on the left of the equation:
     
1
175
x =
131
7
87
5

    Combine the items on the right of the equation:
     
1
175
x =
46
35

    The coefficient of the unknown number is reduced to 1 :
      x =
46
35
÷
1
175
        =
46
35
× 175
        = 46 × 5

    We obtained :
      x = 230
    This is the solution of the equation.



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