मराठी

Find x and y, if : [x3xy4y][21]=[512]. - Mathematics

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प्रश्न

Find x and y, if : `[(x, 3x),(y, 4y)][(2),(1)] = [(5),(12)]`.

बेरीज
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उत्तर

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

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

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

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

Comparing the corresponding elements, we get

5x = 5 `=>` x = 1

6y = 12 `=>` y = 2

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