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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