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1
2014 Algebra #1: x and y
2014 Algebra #1: x and y
Source:
February 23, 2014
quadratics
Problem Statement
Given that
x
x
x
and
y
y
y
are nonzero real numbers such that
x
+
1
y
=
10
x+\frac{1}{y}=10
x
+
y
1
=
10
and
y
+
1
x
=
5
12
y+\frac{1}{x}=\frac{5}{12}
y
+
x
1
=
12
5
, find all possible values of
x
x
x
.
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