Answer
$(-4,-2,-5)$
Work Step by Step
The parametric equations are: $x=-1+3t; y=-2; z=5t$
We have the equation of aplane: $2x-3z=7$
Now, we plug in all of the parametric equations into the above equation of a plane: $t=-1$
Thus, our parametric equations become: $x=-1+3(-1)=-4; y=-2; z=5(-1)=-5$
Hence, the line will meet at the point: $(-4,-2,-5)$
