Question

Eliminate the parameter and write as a cartesian equation solved for y. x(t)=2t-3 y(t)= -4-2t

Answer 1

To eliminate the parameter and write as a cartesian equation solved for y, substitute the value of t from the second equation into the first equation. Therefore, the cartesian equation solved for y is x = -7 - y.

Step-by-step explanation:

To eliminate the parameter and write as a cartesian equation solved for y, we need to solve for t in terms of y in the given equations:

x(t) = 2t - 3

y(t) = -4 - 2t

First, let's solve the second equation for t:

y(t) = -4 - 2t

y = -4 - 2t

2t = -4 - y

t = (-4 - y)/2

Substituting this value of t in the first equation:

x(t) = 2t - 3

x = 2((-4 - y)/2) - 3

x = -4 - y - 3

x = -7 - y

Therefore, the cartesian equation solved for y is x = -7 - y.