Which of the following equations is the result of cross multiplying the given proportion?
(3)/(k+3)=(8)/(k-2)

3k - 2 = 8k + 3
3k - 6 = 8k + 11
3k - 6 = 8k + 24

(3)/(k+3)=(8)/(k-2)

Cross multiply:

3(k-2) = 8(k+3)

Simplify:

3k -6 = 8k +24

3k -6 = 8k+24

Step-by-step explanation:

3                  8

=

k+3             k-2

Using cross multiplication

3 * (k-2) = 8 * (k+3)

Distribute

3k -6 = 8k+24

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional