The number of medals won by an Olympic Team is modeled by y = 3x + 5, where x is the
number of athletes. The number of medals for another team is modeled by y = 5x-8,
where x is the number of athletes. For what number of athletes would both teams have
the same number of Olympic medals? Is this a viable answer? Explain.
Show your work

The number of medals won by an Olympic Team is modeled by y 3x 5 where x is the number of athletes The number of medals for another team is modeled by y 5x8 wh class=

Respuesta :

Answer:

13/2

Step-by-step explanation:

[tex]$ y $[/tex] is the number of medals won. So for the number of medals to be equal in both the case we have to equate [tex]$ y $[/tex] in both the equations.

Thus we would have:

[tex]$ 3x + 5 = 5x - 8 $[/tex]

Solving for [tex]$ x $[/tex] we have: [tex]$ 2x = 13 $[/tex].

[tex]$ \implies x = \frac{13}{2} $[/tex]