Find X 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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