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Find the values of x and y if : [2x+y3x-2y]=[54] - Mathematics

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प्रश्न

Find the values of x and y if : `[(2x + y),(3x - 2y)] = [(5),(4)]`

योग

उत्तर

Comparing corresponding elements,
2x + y = 5 …(i)
3x – 2y = 4 …(ii)
Multiply (i) by 2 and (ii) by ‘1’ we get
4x + 2y = 10,
3x – 2y = 4
Adding we get,
7x = 14
⇒ x = 2
Substituting the value of x in (i)
2 x 2 + y = 5
⇒ 4 + y = 5
y = 5 – 4
= 1
Hence x = 2, y = 1.

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अध्याय 8: Matrices - Exercise 8.1

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