MathDB
Problems
Contests
National and Regional Contests
Greece Contests
Greece Junior Math Olympiad
2017 Greece Junior Math Olympiad
2
Solve the system
Solve the system
Source: Archimedes 2017
March 5, 2017
function
algebra
inequalities
Problem Statement
Let
x
,
y
,
z
x,y,z
x
,
y
,
z
is positive. Solve:
{
x
(
6
−
y
)
=
9
y
(
6
−
z
)
=
9
z
(
6
−
x
)
=
9
\begin{cases}{x\left( {6 - y} \right) = 9}\\ {y\left( {6 - z} \right) = 9}\\ {z\left( {6 - x} \right) = 9}\end{cases}
⎩
⎨
⎧
x
(
6
−
y
)
=
9
y
(
6
−
z
)
=
9
z
(
6
−
x
)
=
9
Back to Problems
View on AoPS