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Find X And Y, If `2x + 3y = [(2,3),(4,0)] and 3x + 2y = [(2, -1),(-1,5)]` - Mathematics

Find and Y, if `2X + 3Y = [(2,3),(4,0)] and 3X + 2Y = [(2, -1),(-1,5)]`

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Solution

`2X + 3Y = [(2,-2),(-1,5)]` ...(3)

`3X + 2Y = [(2,-2),(-1, 5)]` ....(4)

Multiplying equation (3) with (2), we get:

`2(2X + 3Y) = 2[(2,3),(4,0)]`

`=> 4X + 6Y = [(4,6),(8,0)]`   ....(5)

Multiplying equation (4) with (3), we get:

`3(3X + 2Y) = 3[(2,-2),(-1,5)]`

`=>9X + 6Y = [(6,-6),(-3, 15)]` ....(6)

From (5) and (6), we have:

 

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APPEARS IN

NCERT Class 12 Maths
Chapter 3 Matrices
Q 7.2 | Page 81
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