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x^2 + 3y = 10 , 3 + y = 10/ x - 2017 Ecuador Juniors (OMEC) L2 p2
x^2 + 3y = 10 , 3 + y = 10/ x - 2017 Ecuador Juniors (OMEC) L2 p2
Source:
October 25, 2022
algebra
system of equations
Problem Statement
Find all pairs of real numbers
x
,
y
x, y
x
,
y
that satisfy the following system of equations
{
x
2
+
3
y
=
10
3
+
y
=
10
x
\begin{cases} x^2 + 3y = 10 \\ 3 + y = \frac{10}{ x} \end{cases}
{
x
2
+
3
y
=
10
3
+
y
=
x
10
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