Answer
$y=2-\displaystyle \frac{2}{3}x.\qquad 0\leq x\leq 3$
Work Step by Step
Express t in terms of one variable and substitute it into the other equation.
$x=3-3t$,
$3t=3-x$
$t=\displaystyle \frac{3-x}{3},\qquad\left[\begin{array}{l}
0\leq\frac{3-x}{3}\leq 1\\
0\leq 3-x\leq 3\\
-3\leq-x\leq 0\\
3\geq x\geq 0
\end{array}\right]$
Substitute $t$ into the other equation.
$y=2(\displaystyle \frac{3-x}{3}),\qquad 0\leq x\leq 3$
$y=2-\displaystyle \frac{2}{3}x,\qquad 0\leq x\leq 3$
To graph, create a function value table using values for t, in ascending order of t, calculating the x- and y-coordinates of points on the graph.
Plot and join the points obtained with a smooth curve, noting the direction in which t increases.
