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Swedish Mathematical Competition
1972 Swedish Mathematical Competition
1
1
Part of
1972 Swedish Mathematical Competition
Problems
(1)
max a, such that system : x - 4y = 1, ax + 3y = 1 has an integer solution
Source: 1972 Swedish Mathematical Competition p1
3/26/2021
Find the largest real number
a
a
a
such that
{
x
−
4
y
=
1
a
x
+
3
y
=
1
\left\{ \begin{array}{l} x - 4y = 1 \\ ax + 3y = 1\\ \end{array} \right.
{
x
−
4
y
=
1
a
x
+
3
y
=
1
has an integer solution.
diophantine
system of equations
System
number theory