Question

How many solutions are there?

Answer 1

Answer:

no solution

Step-by-step 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

Answer 2

Answer:

No solution

Step-by-step 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.