Question

2. Follow the process used to simplify the expression. Tell if it was done correctly. If not, explain and correct the error by showing your own work.

2/3 (6k – 9) + 8k – 2
4k - 9 + 8k - 2
12k - 11​

Answer 1

No, the simplification is not done correctly. When multiplying

`(2)/(3)*-9` we should get -6 instead of -9.

the correct answer is 12k-8

Explanation:

We need to tell if process was done correctly. If not, explain and correct the error by showing your own work.

The steps given are:

`(2)/(3) (6k - 9) + 8k - 2\\=4k - 9 + 8k - 2\\=12k - 11`

No, the simplification is not done correctly. When multiplying

`(2)/(3)*-9` we should get -6 instead of -9.

Correcting the error:

`(2)/(3) (6k - 9) + 8k - 2\\=4k - 6 + 8k - 2\\=12k - 8`

So, the correct answer is 12k-8