(4x+8)/(3x+7)=y

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Solution for (4x+8)/(3x+7)=y equation: 


D( x )

3*x+7 = 0

3*x+7 = 0

3*x+7 = 0

3*x+7 = 0 // - 7

3*x = -7 // : 3

x = -7/3

x in (-oo:-7/3) U (-7/3:+oo)

(4*x+8)/(3*x+7) = y // - y

(4*x+8)/(3*x+7)-y = 0

(4*x+8)/(3*x+7)+(-y*(3*x+7))/(3*x+7) = 0

4*x-y*(3*x+7)+8 = 0

4*x-3*x*y-7*y+8 = 0

(4*x-3*x*y-7*y+8)/(3*x+7) = 0

(4*x-3*x*y-7*y+8)/(3*x+7) = 0 // * 3*x+7

4*x-3*x*y-7*y+8 = 0

8-3*x*y-7*y = 0 // - 8-7*y

-3*x*y = -(8-7*y) // : -3*y

x = (-(8-7*y))/(-3*y)

x = (1/3)*y^-1*(8-7*y)

x = (1/3)*y^-1*(8-7*y)

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