# If X, Y(X),(Y) = 25 and (-x, Y)(2x),(Y) = -2 Find X and Y If X, Y Hati Z (Integer) - Mathematics

Sum

If [x, y][(x),(y)] = [25] and [(-x, y)][(2x),(y)] = [-2] find x and y if x, y  ε  Z (integer)

#### Solution

[x,y][(x),(y)] = [25]

x^2 + y^2 = 25

and

-2x^2 + y^2 = -2

x , y  ε  Z (interger)

If can observed that that above two equation are satisfied when x = +-3 and y = +-4

Concept: Addition and Subtraction of Matrices
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#### APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 9 Matrices
Exercise 9 (D) | Q 3.2 | Page 131