If y=27 when x=12, find x when y=-12

x = - 36

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y =  ← k is the constant of variation

To find k use the condition y = 27 when x = 12, then

k = yx = 27 × 12 = 324, thus

y =  ← is the equation of variation

When y = - 9, then

- 9 =  ( multiply both sides by x )

- 9x = 324 ( divide both sides by - 9 )

x = - 36