Using the parametric equations x=6*4^t-2 and y=3*(4^(-t))-2, Find the Cartesian equation of the curve in the form xy+ax+by=c
Firstly make t the subject for both equations (x-7)/6=4^t (y+2)/3=4^(-t) Times them together to eliminate t ((x-7)/6)((y+2)/3) = (4^t)*(4^-t)=4^0=1 Rearrange to the form required (x-7)(x+2)=18 xy-7y+2x-14=18 xy+2x-7y=32