Step 1
Given:
\(x = 3t\ -\ 1\ and\ y = 3\ -\ 3t\)
Step 2
\(y =\ -(3t\ -\ 3)\)

\(y =\ -(3t\ -\ 1\ -\ 2)\) ..(1) put \(3t\ -\ 1 = x\) in equation (1) \(y =\ -(x\ -\ 2)\) Hence, \(y=\ -x\ +\ 2\) is the required cartesian form of the given parametric equations.

\(y =\ -(3t\ -\ 1\ -\ 2)\) ..(1) put \(3t\ -\ 1 = x\) in equation (1) \(y =\ -(x\ -\ 2)\) Hence, \(y=\ -x\ +\ 2\) is the required cartesian form of the given parametric equations.