Question 1073909
{{{x=-5+5t}}}
{{{y=-5+3t}}}
{{{z=-2-2t}}}
Substitute into the plane equation,
{{{5(-5+5t)+3(-5+3t)+2(-2-2t)=16}}}
{{{-25+25t-15+9t-4-4t=16}}}
{{{30t-44=16}}}
{{{30t=60}}}
{{{t=2}}}
Now that you know t, go back and find x, y, and z.
I'll leave that to you.