Question

Write and solve an inverse variation equation to find answer

Answer 1

Step 1:

Write the formula connecting y and x.

Step 2:

`\begin{gathered} y\propto(1)/(x)\text{ } \\ x\text{y = k} \end{gathered}`

Step 3:

Find k when x = -6 and y = 1

`\begin{gathered} k\text{ = xy} \\ k\text{ = -6 }*\text{ 1} \\ k\text{ = -6} \end{gathered}`

Step 4

Write the formula connecting x and y

`\text{xy = -6}`

find x when y = 2

`\begin{gathered} \text{xy = -6} \\ 2x\text{ = -6} \\ \text{x = }(-6)/(2) \\ \text{x = -3} \end{gathered}`

Final answer

x = -3