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MAA AMC
AMC 12/AHSME
1966 AMC 12/AHSME
26
Two Linear Equations
Two Linear Equations
Source:
March 25, 2006
analytic geometry
Problem Statement
Let
m
m
m
be a positive integer and let the lines
13
x
+
11
y
=
700
13x+11y=700
13
x
+
11
y
=
700
and
y
=
m
x
−
1
y=mx-1
y
=
m
x
−
1
intersect in a point whose coordinates are integers. Then
m
m
m
is:
(A)
4
(B)
5
(C)
6
(D)
7
(E) one of the integers
4
,
5
,
6
,
7
and one other positive integer
\text{(A)} \ 4 \qquad \text{(B)} \ 5 \qquad \text{(C)} \ 6 \qquad \text{(D)} \ 7 \qquad \text{(E)} \ \text{one of the integers}~ 4,5,6,7~\text{and one other positive integer}
(A)
4
(B)
5
(C)
6
(D)
7
(E)
one of the integers
4
,
5
,
6
,
7
and one other positive integer
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