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2
System of three equations
System of three equations
Source: Romania NMO 2021 grade 7
April 25, 2021
algebra
Problem Statement
Solve the system in reals:
4
−
a
b
=
5
−
b
a
=
10
a
2
+
b
2
\frac{4-a}{b}=\frac{5-b}{a}=\frac{10}{a^2+b^2}
b
4
−
a
=
a
5
−
b
=
a
2
+
b
2
10
.
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