Answer
$x=u, y=v , z= 2x+3y-1$
Work Step by Step
We are given the parametric equation of the plane as:
$r (u, v)=\lt u, v, 2u+3v-1\gt$
and $1 \leq u \leq 3; 2 \leq v \leq 4 $
Suppose that $u=x; y=v$
Thus, the equation of a plane can be expressed as:
$x=u, y=v , z= 2x+3y-1$ for $1 \leq x \leq 3; 2 \leq y \leq 4 $