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 1

Answer:

b = 2, GH = 9

Step-by-step explanation:

Answer 2

Answer:

b = 2, GH = 9

Step-by-step 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

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