Point G is on line segment F H ‾ FH . Given F G = 5 x + 2 , FG=5x+2, G H = 3 x − 1 , GH=3x−1, and F H = 9 , FH=9, determine the numerical length of F G ‾ . FG .

FG = 7

Step-by-step explanation:

From the question, we are given:

FG=5x+2, GH=3x−1, and F H = 9

FG + GH = FH

5x + 2 + 3x - 1 = 9

5x + 3x + 2 - 1 = 9

8x + 1 = 9

8x = 9 - 1

8x = 8

x = 8/8

x =1

We are determining the numerical length of FG

FG= 5x + 2

FG = 5(1) + 2

FG = 5 + 2

FG = 7

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17