Algebra Objective Question.

If I have two unknown variables in an equation. What's the best approach to get those two unknown variables.

For Example:

1025 = n((5+L)/2)

if I manipulate this I end up with an answer where both variables get cancelled.

ie:

1025(2) = n (5+L)

n = 2050/(5+L)

if I substitute:

2050 = [2050/(5+L)] (5+L)

(5+L) (2050) = (2050) (5+L)......

Is there a way for me to get the values of n first then manipulate it to get the values of L.

If you have 2 unknowns in a single equation you can never "Solve" it to get an explicit value. You can think of it as being like a line. You'll always have a range of values. In order to solve an equation with 2 unknowns, you'll need a 2nd equation involving those to limit the possible values. You can think of this as having a second line and looking for the intersection (the point where the 2 things coincide). You've done all you can with the equation you have unless you have more information.

n = 2050/(5+L) is probably as informative as you can get (writing one in terms of the other).