A question from my text is:
The simultaneous equations and have infinitely many solutions. Describe these solutions through the use of a parameter.
I understand how to do this. I just don't understand the purpose of using a parameter?
Thanks for your help
Here's one solution . . . [There are many others.]Using a parameter find all the solutions for: .
Solve one of the equations for one of its variables.
. . Solve  for
Substitute into the other equation.
And solve for the third variable.
So we have: .
On the right side, replace with a parameter
Therefore, we have: .