SOLUTION: if xyz=4 and y^2z=5, what is the value of x/y?

Algebra ->  Test -> SOLUTION: if xyz=4 and y^2z=5, what is the value of x/y?      Log On


   

Question 348135: if xyz=4 and y^2z=5, what is the value of x/y?
Answer by ovie27(16) About Me  (Show Source):
You can put this solution on YOUR website!

xyz=4 and y^2z=5
So, we can solve for z from the second equation:
z = 5/y^2
and we can plug this into the first one:
xy(5/y^2)=4
Cross out the y:
x5/y = 4
5x = 4y
x = 4y/5
divide by y:
x/y = 4/5