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If X,Y(X),(Y) = 25 and -x, Y(2x),(Y) = -2 Find X and Y If X, Y Hati W (Whole Numbers) - Mathematics

Sum

if `[x,y][(x),(y)]` = [25]  and `[-x, y][(2x),(y)] = [-2]` find x and y if `x, y  ε  W` (whole numbers)

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Solution

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

`x^2 + y^2 = 25`

and

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

`x , y  ε  W` (whole number)

It can be observed that the above two equations are satified 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 3.1 | Page 131
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