Question

Solve the proportion.

Answer 1

b = 6/5

or

b = 1.2 in decimal

Explanation:

to solve this proportion

3b - 4/4 = b-2/8

the first step to take is to cross multiply

3b - 4/4 = b-2/8

we have,

4( b-2) = 8(3b -4)

we will open the bracket

4b - 8 = 24b - 32

collect the like terms or combine the like terms

4b - 8 + 32 = 24b

-8 + 32 = 24b - 4b

24 = 20b

divide both sides by the coefficient of b which is 20

24/20 = 20b/20

b = 24/20

b = 6/5

or in decimal form

b = 1.2

Answer 2

b= 6/5

b = 1 1/5

Explanation:

We can solve this using cross products

(3b-4) (b-2)

--------- = ---------

4 8

8* (3b-4) = 4*(b-2)

Distribute

24b -32 = 4b -8

Subtract 4b from each side

24b-4b -32 = 4b-4b-8

20b -32 = -8

Add 32 to each side

20b -32+32 = -8 +32

20b =24

Divide each side by 20

20b/20 = 24/20

b= 24/20

Dividing the top and bottom by 4

b = 6/5

b = 1 4/20

=1 1/5