In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x^{2} + 11x + 28 = 0

Option 5 : x = y or relation between x and y can not be established.

**Given:**

I. x2 + 11x + 28 = 0

II. y2 + 14y + 24 = 0

**Calculation:**

From I,

x2 + 11x + 28 = 0

⇒ x2 + 7x + 4x + 28 = 0

⇒ x(x + 7) + 4(x + 7) = 0

⇒ (x + 7)(x + 4) = 0

Taking,

⇒ (x + 7) = 0 or (x + 4) = 0

⇒ x = -7 or -4

From II,

y2 + 14y + 24 = 0

⇒ y2 + 12y + 2y + 24 = 0

⇒ y(y + 12) + 2(y + 12) = 0

⇒ (y + 12)(y + 2) = 0

Taking,

⇒ (y + 12) = 0 or (y + 2) = 0

⇒ y = -12 or -2

**Comparison between x and y (via Tabulation):**

∴ x = y or relation between x and y can not be established.