[tex]\left \{ {{\frac{x+y}{x-y} -6\frac{x-y}{x+y}=5 } \atop {5y^{2}-x^{2} =1 }} \right.[/tex]

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вопрос

Let's solve the system of equations:

From the first equation:

[tex]\frac{x+y}{x-y} - 6\frac{x-y}{x+y} = 5[/tex]

Simplify this expression:

[tex]\frac{x^2 - y^2}{x^2 - y^2} = 5[/tex]

This simplifies to:

[tex]1 = 5[/tex]

Which is not possible. Therefore, the system of equations has no solution.