SOLUTION: This is the last question on my assignment and I'm stumped. Can anyone help? Thanks. x-2/y= z for y

Algebra ->  Equations -> SOLUTION: This is the last question on my assignment and I'm stumped. Can anyone help? Thanks. x-2/y= z for y       Log On


   

Question 985754: This is the last question on my assignment and I'm stumped. Can anyone help? Thanks.
x-2/y= z for y
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
IF the equation is %28x-2%29%2Fy=z, then...


%28x-2%29%2Fy=z


red%28y%29%2A%28%28x-2%29%2Fy%29=red%28y%29%2Az Multiply both sides by y.


x-2=yz


%28x-2%29%2F%28red%28z%29%29=yz%2F%28red%28z%29%29 Divide both sides by z.


%28x-2%29%2Fz=y


y=%28x-2%29%2Fz


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IF the equation is x-2%2Fy=z, then...


x-2%2Fy=z


x-2%2Fy%2Bred%282%2Fy%29=z%2Bred%282%2Fy%29 Add 2%2Fy to both sides.


x=z%2B2%2Fy


x-red%28z%29=z%2B2%2Fy-red%28z%29 Subtract z from both sides.


x-z=2%2Fy


red%28y%29%28x-z%29=red%28y%29%2A%282%2Fy%29 Multiply both sides by y.


y%28x-z%29=2


%28y%28x-z%29%29%2F%28red%28x-z%29%29=2%2F%28red%28x-z%29%29 Divide both sides by x-z.


y=2%2F%28x-z%29