SOLUTION: Given that {{{y = a/(a-x)}}}, find i) the value of y when {{{a = 1/(4)}}} and {{{x = 3/(16)}}}, ii) x in terms of a and y. *Please answer as soon as possible.

Algebra ->  Expressions-with-variables -> SOLUTION: Given that {{{y = a/(a-x)}}}, find i) the value of y when {{{a = 1/(4)}}} and {{{x = 3/(16)}}}, ii) x in terms of a and y. *Please answer as soon as possible.       Log On


   

Question 457491: Given that y+=+a%2F%28a-x%29, find
i) the value of y when a+=+1%2F%284%29 and x+=+3%2F%2816%29,
ii) x in terms of a and y.

*Please answer as soon as possible.
Found 2 solutions by josmiceli, amoresroy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+a%2F%28a-x%29
y+=+%284%2F16%29%2F%284%2F16+-+3%2F16%29
Multiply top and bottom or right side by 16
+y+=+4+%2F+%284+-+3%29+
+y+=+4+
---------------
y+=+a%2F%28a-x%29
+y%2A%28a-x%29+=+a+
+a%2Ay+-+x%2Ay+=+a+
+-x%2Ay+=+a+-+a%2Ay+
+x%2Ay+=+a%2Ay+-+a+
+x+=+a+-+a%2Fy+

Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
y = a/(a-x)
where:
a=1/4
x= 3/16
---------------------
y= .25/(1/4-3/16)
convert 1/4 to 4/16 to get
y= .25/(4/16-4/16)
y= .25/(1/16
y= .25(16)
y= 4
The value of y is 4
----------------------
y = a/(a-x)
y(a-x) = a
ay-xy = a
xy = ay-a
Divide by y
x = a - a/y