Since, the given matrices are equal, their corresponding elements are also equal.

Comparing the corresponding element, we have:

x + y + z = 9

x + z = 5

y + z = 7

From above equations we get,

y +5 = 9

⇒ y = 4

Then, putting the value of y we get

4 + z = 7

⇒ z = 3

Therefore, x + z = 5

⇒ x = 2

Therefore, x =2, y = 4 and z = 3.