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CoordinatedGeometry
PolynomialAndEquation
AMC10/12
2014
Problem - 1300
Positive integers
a
and
b
are such that the graphs of
y
=
a
x
+
5
and
y
=
3
x
+
b
intersect the
x
-axis at the same point. What is the sum of all possible
x
-coordinates of these points of intersection?
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