Question

Point G is between F and H on line FH. Use the given information solve for x and then find FG AND GH.

FG=4x+7
GH=5x-8
FH=53
X=
FG=
GH=

Answer 1

X=6

FG=31

GH=22

Explanation:

Equation: FG+GH=FH

rewrite with values

4x+7 + 5x-8 = 53

combine like terms

9x-1 = 53

add 1 to both sides

9x = 54

divide by 9

x = 6

use 6 end solve for FG and GH

FG = 4(6) + 7 = 31

GH = 5(6) - 8 = 22

Check your answers.. Do FG and GH add up to equal FH (53)?

31 + 22 = 53

I hope this made sense.