How do you solve|-8k|= 24? Is k=3 and k= -3 correct?

Answer 1

yes!

since the " | | " sign means absolute value, they remove the negative sign of the number within.

so | 24 | = 24 and | -24 | = 24

this means that you don't know if -8k is equal to -24 or 24, so you have to find both possibilities

if -8k=24, then you can divide by -8 to get k=-3

if -8k=-24, then you can divide by 8 to get k=3

so you end up with k = 3, -3

Answer 2

If lAl = B where B > 0, then A = B or -B.

So, if l-8kl = 24, then -8k = 24 or -24.

k = -3 or 3