Question

4k+5/5=4-k/4 solve for k

Answer 1

Answer:

$\frac{4k + 5}{5} = \frac{4 - k}{4} \\ by \: \: cross \: \: multiplication \\ 4(4k + 5) = 5(4 - k) \\ 16k + 20 = 20 - 5k \\ 16k + 5k = 20 - 20 \\ 21k = 0 \\ k = \frac{0}{21} = 0$

Answer 2

Answer:

4k + 5/5 = 4 - k/4

4k + 1 = 4 - k/4

4k + k/4 = 3

16 k + k = 12

17k = 12

k = 12/17= 0.7058...