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

Answered by Anya C. Maths tutor

2692 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find all the solutions of 2 cos 2x = 1 – 2 sinx in the interval 0 ≤ x ≤ 360°.


Solve algebraically: 2x - 5y = 11, 3x + 2y = 7


Via the product rule, or otherwise, differentiate 'y = xsin(x)'.


A curve has parametric equations x = 1 - cos(t), y = sin(t)sin(2t) for 0 <= t <= pi. Find the coordinates where the curve meets the x-axis.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences