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If 2[3x01]+3[13y2]=[z-7158]; find the values of x, y and z. - Mathematics

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प्रश्न

If `2[(3, x),(0, 1)] + 3[(1, 3),(y, 2)] = [(z, -7),(15, 8)]`; find the values of x, y and z.

बेरीज

उत्तर

`2[(3, x),(0, 1)] + 3[(1, 3),(y, 2)] = [(z, -7),(15, 8)]`

`[(6, 2x),(0, 2)] + [(3, 9),(3y, 6)] = [(z, -7),(15, 8)]`

`[(9, 2x + 9),(3y, 8)] = [(z, -7),(15, 8)]`

Comparing the corresponding elements, we get,

2x + 9 = –7 `=>` 2x = –16 `=>` x = –8

3y = 15 `=>` y = 5

z = 9

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पाठ 9: Matrices - Exercise 9 (B) [पृष्ठ १२२]

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सेलिना Mathematics [English] Class 10 ICSE
पाठ 9 Matrices
Exercise 9 (B) | Q 6 | पृष्ठ १२२

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