Question

Suppose Y varies inversely with x. If x=7 when y=-2, find the value of x when y=-6

Answer 1

\[y=\frac{ ? }{ x } \]

\[-2=\frac{ ? }{ 7 }\]
-2*7 = -14
?=-14

\[-6=\frac{ -14 }{ x }\]

\[-6x=-14\]
\[x=\frac{ -14 }{ -6 }\]
Reduced=\[x=\frac{ 7 }{ 3 }\]

Now I have to say I'm not entirely sure if I did this correctly, but it's the best I could come up with.