Question

hi, i'm having trouble understanding the concept of eliminating the parameter to obtain an equation in x and y alone. can anyone please solve this problem and explain it? thank you so much.

x = 3T-4
y= = 1-2T

(0<t<3) those signs are actually less than or equal to.

Answer 1

Solve each equation for T
from the first:
3T = x+4
T = (x+4)/3

from the second
2T = -y + 1
T = (-y+1)/2

but T=T
(x+4)/3 = (-y+1)/2
cross-multiply and simplify to get

2x+3y = -5

Answer 2

THANK YOU. i just really needed that bit of a start; now i can finish the rest. thanks again!