Convert to a rectangular equation by eliminating the parameter:

x=(1/t) y=2t+3

from x = 1/t ---> t = 1/x

from y = 2t+3 ---> t = (y-3)/2

1/x = (y-3)/2

xy - 3y = 2

To convert the given parametric equations to a rectangular equation, we need to eliminate the parameter (t) and express x and y directly in terms of each other.

We start with the given equations:
x = 1/t
y = 2t + 3

To eliminate t, we can solve the first equation for t in terms of x:
x = 1/t
Cross-multiplying, we get:
xt = 1
Solving for t:
t = 1/x

Now, substitute this expression for t in the second equation:
y = 2t + 3
y = 2(1/x) + 3

To simplify further, we need to find a common denominator for the fraction:
y = 2/x + 3

To combine the terms, we need a common denominator of x:
y = 2/x + (3x/x)
y = (2 + 3x)/x

Therefore, the rectangular equation is:
y = (2 + 3x)/x