Let us assume we have the line whose parametric equations are $x=-6+5t, y=5+3t, z=-2 - 12.5t$ and the plane with equation $2x+5y+2z - 7=0$. This line and this plane do not intersect, but let’s pretend we did not know that, and attempted to find their point of intersection by substituting the parametric equations into the plane equation. What goes wrong? Be sure to phrase your answer in such a way that it explains how someone could tell, in a future situation, that a line and plane don’t intersect.