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Find X and Y If Matric `[(X,3x),(Y, 4y)] = [(5),(12)]` - Mathematics

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Question

Find x and y if `[(x,3x),(y, 4y)] = [(5),(12)]`

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Solution

`[(x,3x),(y,4y)][(2),(1)] = [(5),(12)]`

`=> [(2x + 3x),(2y + 4y)] = [(5),(12)]`

`=> [(5x),(6y)] = [(5),(12)]`

`∴ 5x = 15 => x = 3 and 6y = 12 => y = 2`

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2012-2013 (March) Set 1
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