Mathematics
         
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Solution inequality:
    Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
    It supports mathematical functions (including trigonometric functions).
    Current location:Mathematical operation > History of Inequality Computation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 1.25 = (950+1.19x1+1.335x2)/(750+x1+x2) .
    Question type: Equation
    Solution:Original question:
     
5
4
= (950 +
119
100
x × 1 +
267
200
x × 2) ÷ (750 + x × 1 + x × 2)
     Multiply both sides of the equation by:(750 + x × 1 + x × 2)
     
5
4
(750 + x × 1 + x × 2) = (950 +
119
100
x × 1 +
267
200
x × 2)
    Remove a bracket on the left of the equation::
     
5
4
× 750 +
5
4
x × 1 +
5
4
x × 2 = (950 +
119
100
x × 1 +
267
200
x × 2)
    Remove a bracket on the right of the equation::
     
5
4
× 750 +
5
4
x × 1 +
5
4
x × 2 = 950 +
119
100
x × 1 +
267
200
x × 2
    The equation is reduced to :
     
1875
2
+
5
4
x +
5
2
x = 950 +
119
100
x +
267
100
x
    The equation is reduced to :
     
1875
2
+
15
4
x = 950 +
193
50
x

    Transposition :
     
15
4
x
193
50
x = 950
1875
2

    Combine the items on the left of the equation:
      -
11
100
x = 950
1875
2

    Combine the items on the right of the equation:
      -
11
100
x =
25
2

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
25
2
=
11
100
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 :
     
11
100
x = -
25
2

    The coefficient of the unknown number is reduced to 1 :
      x = -
25
2
÷
11
100
        = -
25
2
×
100
11
        = - 25 ×
50
11

    We obtained :
      x = -
1250
11
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 113.636364



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