Question #c1e7f

1 Answer
May 11, 2016

k = 21/8 or 2.625

Explanation:

We have
2/3 + 8k/4 = 71/12

Subtract 2/3 from both sides
(2/3 - 2/3) + 8k/4 = 71/12 - 2/3

Write 2/3 as 8/12 (multiply 4 in both numerator and denominator)

8k/4 = 71/12 - 8/12

Take 1/12 common

8k/4 = (71-8)xx1/12

Divide by 2 on both sides
8k/(4xx2) = 1/2 xx 63/12

You have
cancel(8)k/cancel(8) = 63/24

k = 63/24

Divide by both numerator and denominator by 3

k = (63/3)/(24/3)

k = 21/8 or 2.625