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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 (341.5)/31*x+136.5/31*(x+15)+93/31(x+30) = 1025 .
    Question type: Equation
    Solution:Original question:
     (
683
2
) ÷ 31 × x +
273
2
÷ 31 × ( x + 15) + 93 ÷ 31 × ( x + 30) = 1025
     Left side of the equation = (
683
2
) ×
1
31
x +
273
62
( x + 15) + 3( x + 30)
    The equation is transformed into :
     (
683
2
) ×
1
31
x +
273
62
( x + 15) + 3( x + 30) = 1025
    Remove the bracket on the left of the equation:
     Left side of the equation =
683
2
×
1
31
x +
273
62
( x + 15) + 3( x + 30)
                                             =
683
62
x +
273
62
( x + 15) + 3( x + 30)
                                             =
683
62
x +
273
62
x +
273
62
× 15 + 3( x + 30)
                                             =
683
62
x +
273
62
x +
4095
62
+ 3( x + 30)
                                             =
478
31
x +
4095
62
+ 3( x + 30)
                                             =
478
31
x +
4095
62
+ 3 x + 3 × 30
                                             =
478
31
x +
4095
62
+ 3 x + 90
                                             =
571
31
x +
9675
62
    The equation is transformed into :
     
571
31
x +
9675
62
= 1025

    Transposition :
     
571
31
x = 1025
9675
62

    Combine the items on the right of the equation:
     
571
31
x =
53875
62

    The coefficient of the unknown number is reduced to 1 :
      x =
53875
62
÷
571
31
        =
53875
62
×
31
571
        =
53875
2
×
1
571

    We obtained :
      x =
53875
1142
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 47.176007



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