To solve this, we will follow the steps below:
EG = EF + FG -------------------------------------(1)
From the question,
EG = 5x + 7 EF = 5x FG = 2x – 7
Substituting the above into equation(1)
5x+7 = 5x + 2x-7
5x+7 = 7x - 7
Collect like-term
7+7 = 7x-5x
14 = 2x
Divide both-side of the equation by 2
14/2 = 2x/2
7 = x
x=7
Substituting the value of x in poin FG
Point FG = 2x – 7 = 2(7) - 7 = 14 - 7 =7
Therefore, the numerical length of FG is 7