Tuesday, February 3, 2015

(5/3)=(x/y) If x-y=5

We'll use the proportion
rule:


a/b = c/d
<=> (a-b)/b = (x-y)/y


We'll
apply this rule to the first equation:


 (5/3)=(x/y)
<=>  (5-3)/3 = (x-y)/y (3)


But, from the
second equation, we have x-y=5.


We'll substitute the
difference x-y by 5, in (3).


 (5-3)/3 =
5/y


2/3 = 5/y


We'll cross
multiply:


2y = 15


We'll divide
by 2:


y = 15/2


y
= 7.5


Now, we'll substitute y by 7.5, into
the second equation:


x-y=5


x -
7.5 = 5


We'll add 7.5 both
sides:


x = 5 +
7.5


x =
12.5

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