Y=x/(x-7)

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Solution for Y=x/(x-7) equation: 


D( x )

x-7 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x in (-oo:7) U (7:+oo)

Y = x/(x-7) // - x/(x-7)

Y-(x/(x-7)) = 0

(-1*x)/(x-7)+Y = 0

(-1*x)/(x-7)+(Y*(x-7))/(x-7) = 0

Y*(x-7)-1*x = 0

Y*x-7*Y-x = 0

Y*x-7*Y-x = 0

Y*x-7*Y = 0 // + -7*Y

Y*x = -(-7*Y) // : Y

x = (-(-7*Y))/Y

x = 7

x-7 = 0

(x-7)/(x-7) = 0

(x-7)/(x-7) = 0 // * x-7

x-7 = 0

x-7 = 0 // + 7

x = 7

x in { 7} 

x belongs to the empty set

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