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Math Drills
Number theory basics
Linear Diophantine equations
Practice 1
Number theory basics
Linear Diophantine equations
1 / 5
Standard
Choose an integer solution (x, y) of the equation.
24
x
+
19
y
=
1
24x + 19y = 1
24
x
+
19
y
=
1
1
(
x
,
y
)
=
(
4
,
−
5
)
\left(x, y\right) = \left(4, -5\right)
(
x
,
y
)
=
(
4
,
−
5
)
2
(
x
,
y
)
=
(
−
4
,
5
)
\left(x, y\right) = \left(-4, 5\right)
(
x
,
y
)
=
(
−
4
,
5
)
3
(
x
,
y
)
=
(
5
,
−
6
)
\left(x, y\right) = \left(5, -6\right)
(
x
,
y
)
=
(
5
,
−
6
)
4
(
x
,
y
)
=
(
−
5
,
6
)
\left(x, y\right) = \left(-5, 6\right)
(
x
,
y
)
=
(
−
5
,
6
)
Answer
