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Mathematics
Problem
The ordered pair
(
1
,
3
)
(1,3)
(
1
,
3
)
satisfies both of the following equations:
a
x
+
y
=
2
a
+
1
ax + y = 2a + 1
a
x
+
y
=
2
a
+
1
and
x
+
b
y
=
a
−
b
x + by = a - b
x
+
b
y
=
a
−
b
. Determine the values of
a
a
a
and
b
b
b
.
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