{2x² + xy - x² = 20
{x² + xy + 2y² = 14

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To solve this system of equations, we can use the substitution method.

From the first equation, we can simplify it to:

x² + xy = 20.

We can now substitute this expression in the second equation:

(20) + 2y² = 14

Solving for y²:

y² = (14 - 20)/2
y² = -6/2
y² = -3
y = √(-3)

Since the square root of a negative number is imaginary, there are no real solutions to this system of equations.