Problem:

Find parametric and symmetric equations of the line of intersection of the two planes.

$\displaystyle 2x+y+z-5=0$ and $\displaystyle 3x+2y+2z-8=0$

Answers:

$\displaystyle x=2$

$\displaystyle y=t$

$\displaystyle z=1-t$

No symmetric equations.

Comments:

I'm stuck on this one.

I tried multiplying the first equation by $\displaystyle -2$ and did the elimination to solve for $\displaystyle y$ or $\displaystyle z$ but I get messed up.