Question

If y varies directly with x and y is -6 when x is 2, what is x when y is -22?

Answer 1

x =
`(22)/(3)`

Explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 6 when x = 2, then

- 6 = 2k ( divide both sides by 2 )

- 3 = k

y = - 3x ← equation of variation

When y = - 22, then

- 22 = - 3x ( divide both sides by - 3 )

x =
`(-22)/(-3)` =
`(22)/(3)`