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Let \(y = \frac{x - 3}{x + 7}\). The equation can be expressed in the form (x+a)(y+b)=c. Find a, b, c.

 Apr 13, 2021
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xy + 7y = x-3

x - xy - 7y  = 3                factor ...note that a 7 is added on the L and the right in the next equation

(x+7)(-y+1)  = 3 + 7

 

(x+7)(-y+1) =10              multiply by -1 to get correct sign for 'y'

(x+7)(y-1) = -10      take it from here .....

 Apr 13, 2021

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