Solve for x and y if

given

⇒

⇒

Equating each element of the matrix equation with corresponding element

x² + 6x = – 9

⇒ x² + 6x + 9 = 0

⇒ x( x + 3) + 3(x + 3) = 0

⇒ (x + 3) (x + 3) = 0

x = – 3 , – 3

y² – 3y = 4

⇒ y² – 3y – 4 = 0

⇒ y( y – 4) + 1( y – 4) = 0

⇒ (y + 1) (y – 4) = 0

⇒ y = – 1 or 4

Hence the values of x = – 3, – 3 and y = – 1 , 4