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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 1/312.2-1/(x-80) = 1/88-1/(x-390) .
    Question type: Equation
    Solution:Original question:
     1 ÷
1561
5
1 ÷ ( x 80) = 1 ÷ 881 ÷ ( x 390)
     Multiply both sides of the equation by:( x 80) ,  ( x 390)
     1 ÷
1561
5
× ( x 80)( x 390)1( x 390) = 1 ÷ 88 × ( x 80)( x 390)1( x 80)
    Remove a bracket on the left of the equation::
     1 ÷
1561
5
× x ( x 390)1 ÷
1561
5
× 80( x 390)1( x 390) = 1 ÷ 88 × ( x 80)( x 390)1( x 80)
    Remove a bracket on the right of the equation::
     1 ÷
1561
5
× x ( x 390)1 ÷
1561
5
× 80( x 390)1( x 390) = 1 ÷ 88 × x ( x 390)1 ÷ 88 × 80( x 390)1( x 80)
    The equation is reduced to :
     
5
1561
x ( x 390)
400
1561
( x 390)1( x 390) =
1
88
x ( x 390)
10
11
( x 390)1( x 80)
    Remove a bracket on the left of the equation:
     
5
1561
x x
5
1561
x × 390
400
1561
( x 390)1( x 390) =
1
88
x ( x 390)
10
11
( x 390)1( x 80)
    Remove a bracket on the right of the equation::
     
5
1561
x x
5
1561
x × 390
400
1561
( x 390)1( x 390) =
1
88
x x
1
88
x × 390
10
11
( x 390)1( x 80)
    The equation is reduced to :
     
5
1561
x x
1950
1561
x
400
1561
( x 390)1( x 390) =
1
88
x x
195
44
x
10
11
( x 390)1( x 80)
    Remove a bracket on the left of the equation:
     
5
1561
x x
1950
1561
x
400
1561
x +
400
1561
× 3901( x 390) =
1
88
x x
195
44
x
10
11
( x 390)1( x 80)
    Remove a bracket on the right of the equation::
     
5
1561
x x
1950
1561
x
400
1561
x +
400
1561
× 3901( x 390) =
1
88
x x
195
44
x
10
11
x +
10
11
× 3901( x 80)
    The equation is reduced to :
     
5
1561
x x
1950
1561
x
400
1561
x +
156000
1561
1( x 390) =
1
88
x x
195
44
x
10
11
x +
3900
11
1( x 80)
    The equation is reduced to :
     
5
1561
x x
2350
1561
x +
156000
1561
1( x 390) =
1
88
x x
235
44
x +
3900
11
1( x 80)
    Remove a bracket on the left of the equation:
     
5
1561
x x
2350
1561
x +
156000
1561
1 x + 1 × 390 =
1
88
x x
235
44
x +
3900
11
1( x 80)
    Remove a bracket on the right of the equation::
     
5
1561
x x
2350
1561
x +
156000
1561
1 x + 1 × 390 =
1
88
x x
235
44
x +
3900
11
1 x + 1 × 80
    The equation is reduced to :
     
5
1561
x x
2350
1561
x +
156000
1561
1 x + 390 =
1
88
x x
235
44
x +
3900
11
1 x + 80
    The equation is reduced to :
     
5
1561
x x
3911
1561
x +
764790
1561
=
1
88
x x
279
44
x +
4780
11

    
        x1=-
14023257
1000000
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》




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