8y=4x/(x-1)

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Solution for 8y=4x/(x-1) equation:


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

8*y = (4*x)/(x-1) // - (4*x)/(x-1)

8*y-((4*x)/(x-1)) = 0

8*y-4*x*(x-1)^-1 = 0

(-4*x)/(x-1)+8*y = 0

(-4*x)/(x-1)+(8*y*(x-1))/(x-1) = 0

8*y*(x-1)-4*x = 0

8*x*y-4*x-8*y = 0

8*x*y-4*x-8*y = 0

4*(2*x*y-x-2*y) = 0

2*x*y-2*y = 0 // + -2*y

2*x*y = -(-2*y) // : 2*y

x = (-(-2*y))/(2*y)

x = 1

4*(x-1) = 0

(4*(x-1))/(x-1) = 0

(4*(x-1))/(x-1) = 0 // * x-1

4*(x-1) = 0

( 4 )

4 = 0

x belongs to the empty set

( x-1 )

x-1 = 0 // + 1

x = 1

x in { 1}

x belongs to the empty set

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