SOLUTION: If y varies inversely as x and y=7 when x=14, find x when y=2

Algebra ->  Algebra  -> Inverses -> SOLUTION: If y varies inversely as x and y=7 when x=14, find x when y=2      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 105068: If y varies inversely as x and y=7 when x=14, find x when y=2
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
If y varies directly as x,
y=kx.
___where k= the constant of proportionality
And, when y=7 and x=14,
7=14k
k=1%2F2
That means the original equation becomes:
y=x%2F2
Thus, if y=2,
__2=x%2F2
2%2A2=%28x%2F2%29%2A2
__4=x
__x=4
Power up,
HyperBrain!