smweclawski
contestada

find the midpoint:
[tex]FM=5y+13, MG=5-3y[/tex]

I keep getting y=-1, and then putting it in but I'm just totally lost all I'm getting is 8 apparently and I'm not sure where to go next

find the midpoint texFM5y13 MG53ytex I keep getting y1 and then putting it in but Im just totally lost all Im getting is 8 apparently and Im not sure where to g class=

Respuesta :

semsee45

Answer:

FG = 16

Step-by-step explanation:

Given:

  • FM = 5y + 13
  • MG = 5 - 3y
  • M is the midpoint of FG

If M is the midpoint of FG then:

⇒ FM = MG

⇒ 5y + 13 = 5 - 3y

⇒ 5y + 13 + 3y = 5 - 3y + 3y

⇒ 8y + 13 = 5

⇒ 8y + 13 - 13 = 5 - 13

⇒ 8y = -8

⇒ y = -1

As M is the midpoint of FG then:

⇒ FG = FM + MG

⇒ FG = (5y + 13) + (5 - 3y)

⇒ FG = 5y + 13 + 5 - 3y

⇒ FG = 2y + 18

Substitute the found value of y into the found equation for FG:

⇒ FG = 2(-1) + 18

⇒ FG = -2 + 18

⇒ FG = 16

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