Question

For which value or values are the expressions 15k+9 and 3( 2k+3) +9k equivalent?

Answer 1

All real numbers

Explanation:

Set up the problems 15k+9 and 3( 2k+3) +9k together like this:

15k+9 = 3( 2k+3) +9k, then solve.

`\mathrm{Expand\:}3\left(2k+3\right)+9k:\quad 15k+9`

Subtract 9 from both sides:
`15k+9-9=15k+9-9`

Simplify:
`15k=15k`, when you divide by 15, you find that you get:
`k=k`

Hope this helps!!