Question

Walk me through this problem plz!
Solve for c
1/k + 1/c =1

Answer 1

one way is to "clear the denominators"
multiply the equation by kc (both sides and all terms)
can you do that ?

Answer 2

Okay. So you get k+c=kc

Answer 3

now to solve for c, "move" the c from the left side to the right side
we do this by add -c to both sides
k+c-c = kc - c
and simplify

Answer 4

Okay so k=kc-c

Answer 5

now the "hard part" (though not that hard)
factor c out of each term in kc - c
can you do that ?

Answer 6

Oh i see now. k=c(k-1)

Answer 7

finally, divide both sides by k-1

Answer 8

k/k-1=c

Answer 9

Does the k cancel out?

Answer 10

yes, but I would put parens around k-1
you are dividing by k-1

\[ c = \frac{k}{k-1} \]
if you write it
c = k/(k-1) we need the parens otherwise it looks like
c = k/k - 1 which means 1 -1 = 0 (that is a bozo no-no)

Answer 11

Oh I see. Thank you.

Answer 12

yw