MathDB
Problems
Contests
National and Regional Contests
Vietnam Contests
Hanoi Open Mathematics Competition
2013 Hanoi Open Mathematics Competitions
13
13
Part of
2013 Hanoi Open Mathematics Competitions
Problems
(2)
1/x+1/y=1/6 and 3/x+2/y=5/6 (HOMC 2013 J Q13)
Source:
7/28/2019
Solve the system of equations
{
1
x
+
1
y
=
1
6
3
x
+
2
y
=
5
6
\begin{cases} \frac{1}{x}+\frac{1}{y}=\frac{1}{6} \\ \frac{3}{x}+\frac{2}{y}=\frac{5}{6} \end{cases}
{
x
1
+
y
1
=
6
1
x
3
+
y
2
=
6
5
algebra
system of equations
system xy=1 and x/(x^4+y^2)+y/(x^2+y^4)=1 (HOMC 2013 Q13)
Source:
8/1/2019
Solve the system of equations
{
x
y
=
1
x
x
4
+
y
2
+
y
x
2
+
y
4
=
1
\begin{cases} xy=1 \\ \frac{x}{x^4+y^2}+\frac{y}{x^2+y^4}=1\end{cases}
{
x
y
=
1
x
4
+
y
2
x
+
x
2
+
y
4
y
=
1
algebra
system of equations