This equation can be expressed in the form (x+a)(y+b) = c for some constants a,b, and c Enter your answer in the form "a,b,c".
I get this is a rational function and it needs to be changed into a hyperbolic function but I got stuck on how to do that help would be greatly appreciated guys. Thanks for all your hard work on this forum!
This equation can be expressed in the form \((x+a)(y+b) = c\) for some constants a,b, and c
\(\begin{array}{|rcll|} \hline \mathbf{y} &=& \mathbf{\dfrac{x-3}{x+7}} \\\\ y(x+7) &=& x-3 \\ yx+7y &=& x-3 \\ yx+7y-x &=& -3 \\ x(y-1)+7y &=& -3 \\ x(y-1)+7y-7+7 &=& -3 \\ x(y-1)+7(y-1)+7 &=& -3 \\ x(y-1)+7(y-1) &=& -10 \\ (y-1)(x+7)&=& -10 \\ \mathbf{(x+7)(y-1)} &=& \mathbf{-10} \\ \hline \end{array}\)