Question 1194462
<font color=black size=3>
Start with this system
{{{system(x=t,y=4t-5)}}}
It should be fairly clear that we can replace t with x to go from y = 4t-5 to y = 4x-5
Both x and t are placeholders for a variable. The naming of said variable isn't really important.


That is what I would consider a trivial solution. 


A more interesting solution would have us replace each t with (t-1) to have...<ul><li>x = t turn into x = t-1</li><li>y = 4t-5 turn into y = 4(t-1)-5 = 4t-4-5 = 4t-9</li></ul>One possible answer for part (a) is
{{{system(x=t-1,y=4t-9)}}}
Note that solving the first equation for t gets us 
t = x+1
Then plug this into the second equation
y = 4t-9
y = 4(x+1)-9
y = 4x+4-9
y = 4x-5
which helps us confirm we have the correct set of equations.


Use this trick to find a possible set of parametric equations for part (b)
Go back to the original system mentioned at the top of this solution page. Then replace t with something like (t-2) and see what happens.
Feel free to use something more interesting or creative if you prefer.


If you wanted, you could use the first system as the answer since it technically fits the requirements (even if it's not all that interesting).
</font>