Question

How many solutions are there?

Answer 1

No solution

Explanation:

Simplify the L.H.S and the R.H.S

⇒
`6(2k + 1) = 12k + 1`

⇒
`12k + 6 = 12k + 1`

Cancel out the "12k"

⇒
`12k + 6 = 12k + 1`

⇒
`6 = 1 (\text{False})`

Henceforth, this equation has no solution.

Answer 2

no solution

Explanation:

Solve:

6(2k + 1) = 12k + 1

Expand brackets:

⇒ 12k + 6 = 12k + 1

Subtract 12k from both sides:

⇒ 6 = 1

As 6 ≠ 1 there is no solution