An Exponential Equation In Two Variables | Real Solutions?

[@trojanleo123]

One equation two unknowns without any other information by the laws of Algebra cannot be solved. The assumption y = kx assumes the two variables are linearly related which may not be true.

[@spelunkerd]

What an interesting approach. it made me pause when you made the creative assumption that Y and X are linearly related. That assumption gives a clear solution to the first problem, but does that method exclude other reasonable solutions, too? After all, what if X and Y are instead exponentially related, or related by a quadratic? Is it fair to assume linearity?

[@Christopher-e7o]

X,2x+5=8[[n3]

[@miggyalejandro]

X and Y are both 1.

[@MohammedRasheed-d8m]

graphing the equation in Desmos does not give the same graph as the one you have included in your video. why so?

[@alexandermorozov2248]

Yes, I also got completely different graphs if I build the functions x(k) and y(k).

[@alexandermorozov2248]

P. S. This is a graph defined parametrically - in the form of x(t) and y(t). The graph has two branches - the lower one (t from 0 to 2) and the upper one (t from 2 to infinity).