Please explain in words how would you do the following, no solution needed -
Find any possible solutions for the 2 planes below and explain geometrically what situation the planes are in. State any possible points/ lines of intersection.
-2x+3y+z=5
x+5y+2z=17
since the direction numbers are different, the planes are not parallel.
So, they must intersect in a line.
eliminate two of the variables, then you can write the equation of the line.