Question

Find the value of the variable and GH if H is between G and I. GI = 5b + 2, HI = 4b – 5, HI = 3

answer options:
b = 0.20, GH = –1.20
b = 0.67, GH = 5.33
b = 2, GH = 9
b = 2, GH = 12

Answer 1

b = 2, GH = 9

Explanation:

Answer 2

b = 2, GH = 9

Explanation:

In this problem we have that

`GI=GH+HI`

Solve for GH

`GH=GI-HI` -----> equation A

we have

`GI=5b+2` -----> equation B

`HI=4b-5` ------> equation C

`HI=3` -----> equation D

step 1

Substitute equation D in equation C and solve for b

`3=4b-5`

`4b=3+5`

`4b=8`

`b=2`

step 2

Find the value of GH

substitute equation B and equation D in equation A

`GH=(5b+2)-3`

`GH=5b-1`

substitute the value of b

`GH=5(2)-1=9`