Question

Check my answer? Solving variables?

Answer 1

I got 3

Answer 2

so (k+1)*5=4*(2k-1)

Answer 3

5k+5=8k-4

Answer 4

-3k=-9

Answer 5

k=3

Answer 6

Checking the answer:
Plug k = 3 into the original equation (replace every k with 3 and evaluate)
If you get a true result, then the answer is confirmed
\[\Large \frac{k+1}{2k-1} = \frac{4}{5}\]
\[\Large \frac{3+1}{2(3)-1} = \frac{4}{5}\]
\[\Large \frac{3+1}{6-1} = \frac{4}{5}\]
\[\Large \frac{4}{5} = \frac{4}{5} \ \ {\color{green}{\checkmark}}\]
The last equation above is true
So the answer is confirmed