y=7x/(100-x)

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Solution for y=7x/(100-x) equation:


D( x )

100-x = 0

100-x = 0

100-x = 0

100-x = 0 // - 100

-x = -100 // * -1

x = 100

x in (-oo:100) U (100:+oo)

y = (7*x)/(100-x) // - (7*x)/(100-x)

y-((7*x)/(100-x)) = 0

y-7*x*(100-x)^-1 = 0

(-7*x)/(100-x)+y = 0

(-7*x)/(100-x)+(y*(100-x))/(100-x) = 0

y*(100-x)-7*x = 0

100*y-7*x-(x*y) = 0

100*y-7*x-(x*y) = 0

x*(-y)+100*y = 0 // - 100*y

x*(-y) = -(100*y) // : -y

x = (-(100*y))/(-y)

x = 100

x-100 = 0

(x-100)/(100-x) = 0

(x-100)/(100-x) = 0 // * 100-x

x-100 = 0

x-100 = 0 // + 100

x = 100

x in { 100}

x belongs to the empty set

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