[tex]5 - 6 = - 3k \\ - 1 = - 3k \\ \frac{1}{3} = k[/tex]
First, we combine the terms on the left side of the equation to simplify the equation. Then we divide both sides by -3. k then equals 1/3.
To check, we plug in our value for k into the original equation:
[tex]5 - 6 = - 3k \\ 5 - 6 = - 3( \frac{1}{3} ) \\ - 1 = - 1[/tex]
We found k to be 1/3, so for every instance of k, we plug in 1/3. To simplify, we combine the left side to get -1, and we combine the right side to get -1.
Since -1 = -1, our solution is correct.
