Answer:
x = [tex]\frac{22}{3}[/tex]
Step-by-step 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 = [tex]\frac{-22}{-3}[/tex] = [tex]\frac{22}{3}[/tex]
