Question

Solve equation. -6(k+3) = -3(2k+7)

Answer 1

First, expand the product on both members of the equation:

`\begin{gathered} -6(k+3)=-3(2k+7) \\ \Rightarrow-6k-6\cdot3=-3\cdot2k-3\cdot7 \\ \Rightarrow-6k-18=-6k-21 \end{gathered}`

Notice that the term -6k appears at both sides of the equation. Then, we can cancel them:

`\Rightarrow-18=-21\text{ !}`

This is a contradiction. Then, the equation does not have a solution.