Question

Resolva as equações fracionarias abaixo
a) 4/5 - 1/x = 17/15
b) 4/x-1 = 3/x-2
c)5/x -3 =3/5-x

Answer 1

a) 4 - 1 = 17 ==> 12x - 15 = 51 ==> 12x = 51+15 ==> 12x = 66 ==> x = 66/12
    5   x     15
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b)  4  =  3    ==> 4(x-2) = 3(x-1) ==> 4x - 8 = 3x - 3 ==>4x-3x= -3+8 ==> x = 5
    x-1   x-2
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c)    5  =     3
    x - 3    5 - x

3(x - 3 ) = 5(5 - x ) ==> 3x - 9 = 25 - 5x

3x + 5x= 25 + 9 ==> 8x = 34 ==> x = 34/8