Question

While I was solving the equation for the first try I got it wrong but on the second try I need help from my friend he said I must multiply it by 12 then I got the answer.
The question is when I solve the equation how do you guys get the 12? I don’t know how you get it but pls. Tell me how.

Answer 1

Answer:

k =3/2

Step-by-step explanation:

8/3k + 2(3/2k+1) = 1/2k +39/4

We want to multiply by 12 because of the fractions.

8/3, 3/2, 1/2, 39/4,  We want to get a common denominator

The common denominator is 12

Multiply each side by 12 to get rid of  ALL the fractions

12(8/3k + 2(3/2k+1)) = 12(1/2k +39/4)

Distribute

12*8/3k + 12*2(3/2k+1) = 12*1/2k +12*39/4

32k +24(3/2k+1)  = 6k +117

Distribute the 24

32k +36k+24=6k+117

Combine like terms

68k +24 = 6k+117

Subtract 6k from each side

68k-6k +24 = 6k-6k+117

62k +24 = 117

Subtract 24 from each side

62k +24-24 = 117-24

62k =93

Divide by 62

k = 93/62

Divide top and bottom by 21

k = 3/2