MathDB
Problems
Contests
National and Regional Contests
South Africa Contests
South Africa National Olympiad
2011 South africa National Olympiad
2
2
Part of
2011 South africa National Olympiad
Problems
(1)
SAMO 2011 Senior Round 3 Problem 2
Source:
9/7/2011
Suppose that
x
x
x
and
y
y
y
are real numbers that satisfy the system of equations
2
x
−
2
y
=
1
2^x-2^y=1
2
x
−
2
y
=
1
4
x
−
4
y
=
5
3
4^x-4^y=\frac{5}{3}
4
x
−
4
y
=
3
5
Determine
x
−
y
x-y
x
−
y
algebra
system of equations