Question 1171339
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The equation for baseball is 


    {{{h[b](t)}}} = -16t^2 + 45t + 10.    (1)


(I prefer to use " t " for time instead of x in your formula).


The equation for the drone is


    {{{h[d]}}} = 50 + 23*t.     (2)


Notice indexes  "b" for baseball and "d" for the drone.


To investigate the possible collision, you don't need a system of equations.


You need ONLY ONE equation, instead


    -16t^2 + 45t + 10 = 50 + 23*t


saying that two objects are at the same height at the same time.
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Solved.


I answered all your questions and provided all necessary explanation in the most detailed and clear form.



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It is &nbsp;NOT &nbsp;RECOMMENDED &nbsp;to throw baseball standing just outside the apartment building.


The consequences can be &nbsp;UNPREDICTABLE.