Answer: [tex]27\text{ }\times\text{ }\frac{-3}{1}\text{ \lparen last option\rparen}[/tex]Explanation:
Given:
[tex]-\frac{1}{3}k\text{ = 27}[/tex]
To find:
the number that must be multiplied by the equation to get the value of k
To get k, we will multiply the inverse of the coefficient of k on both sides of the equation
Coefficient of k = -1/3
Inverse of the number = 1/(-1/3) = 3/-1 = -3/1
[tex]\begin{gathered} \frac{-3}{1}\times-\frac{1}{3}\text{ = 27}\times\frac{-3}{1} \\ \\ \frac{-3}{-3}k\text{ = 27}\times\frac{-3}{1} \\ \\ k\text{ = 27 }\times\frac{-3}{1}\text{ \lparen last option\rparen} \end{gathered}[/tex]
