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Solve the quadratic equations and determine the relation between x and y:

Equation 1: x² - 38x + 352 = 0

Equation 2: y² - 38y + 312 = 0

I. x² + x – 42 = 0

II. y² + 6y – 27 = 0

I. 10x² - 11x + 3 = 0

II. 42y² - 23y – 10 = 0

I. 20y² - 13y + 2 = 0

II. 6x² - 25x + 14 = 0

I. x² – 18x + 81 = 0

II. y² – 3y - 28 = 0

Equation 1: x² - 250x + 15625 = 0

Equation 2: y² - 240y + 14400 = 0

I. 2y² - 11 y + 15 = 0

II. 2x² + 3x – 14 = 0

l. p² - 3p - 54 = 0

II. q² - 19q + 90 = 0

I. 9x² + 45x + 26 = 0

II. 7y² – 59y − 36 = 0

I. 8/(21x) - 2/7 = 0

II. 16y² - 24y +9 = 0