Question

Given x varies inversely as y and x = 6 when y = - 4, find y when x = 8 .

Answer 1

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`\blue\textsf{\textbf{\underline{\underline{Question:-}}}}`

Given that x varies inversely with y, x=6 when y=-4, find y when x=8.

`\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}`

If x varies inversely with y, we divide.

So the formula looks as follows:-

`\bold{x=\displaystyle(k)/(y) }`

where k = constant of proportionality

Plug in the values:-

`\bold{6=\displaystyle(k)/(-4)}`

Multiply both sides by -4:-

`\bold{-24=k}`

Now find y when x=8:-

`\bold{8=\displaystyle(-24)/(y)}`

Multiply both sides by y:-

`\bold{8y=-24}`

Divide by 8 on both sides:-

`\dashrightarrow\bigstar{\boxed{\boxed{\underline{\bold{y=-3}}}}\dashleftarrow`

Good luck.

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