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system x + y = 2 and x^4 - y^4 = 5x - 3y (HOMC 2011 Q6)
system x + y = 2 and x^4 - y^4 = 5x - 3y (HOMC 2011 Q6)
Source:
July 25, 2019
system of equations
algebra
Problem Statement
Find all pairs
(
x
,
y
)
(x, y)
(
x
,
y
)
of real numbers satisfying the system :
{
x
+
y
=
2
x
4
−
y
4
=
5
x
−
3
y
\begin{cases} x + y = 2 \\ x^4 - y^4 = 5x - 3y \end{cases}
{
x
+
y
=
2
x
4
−
y
4
=
5
x
−
3
y
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