Respuesta :

For this case we have the following system of equations:
 [tex]x ^ 2 + y ^ 2 = 9 9x + 2y = 16[/tex]
 To answer the question, what we should do is identify the equations:
 The first equation is a circle centered on the origin of radius 3.
 The second equation is a line with a negative slope.
 A circle and a line can intersect a maximum of two times.
 Therefore, the system has a maximum of 4 possible solutions because we have two ordered pairs that can be solved.
 Answer:
 
Maximum 4 possible solutions (two ordered pairs)
 
See attached image of the graphic solution.
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Answer:

Ans = 4

Step-by-step explanation:

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