Given the quadratic equations I. x² + 3x - 18 = 0 and II. y² + y - 30 = 0, what can be concluded about the relationship between x and y after solving both?

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x is less than yx is greater than yx is less than or equal to yx is greater than or equal to yx equals y or no definitive relationship can be determined

Explanation

Solving equation I: x² + 3x - 18 = 0 factors as (x + 6)(x - 3) = 0, giving x = -6 or 3. Solving equation II: y² + y - 30 = 0 factors as (y + 6)(y - 5) = 0, yielding y = -6 or 5. Since both x and y share a common root (-6), but other roots differ, we cannot definitively establish a consistent relationship between x and y values.