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

AC
Answered by Anya C. Maths tutor

3442 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the equation of the tangent to: y = X^2 + 3x + 2 at the point (2,12)


Given that (2x-1) : (x-4) = (16x+1) : (2x-1), find the possible values of x


∫ 4/x^2+ 5x − 14 dx


Factorise 6x^2 + 7x - 3=0


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning