मराठी

Find the value of x, y, and z from the following equation: [x+y+zx+zy+z]=[957] - Mathematics

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प्रश्न

Find the value of x, y, and z from the following equation:

`[(x+y+z), (x+z), (y+z)] = [(9),(5),(7)]`

बेरीज
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उत्तर

`[(x+y+z), (x+z), (y+z)] = [(9),(5),(7)]`

As the two matrices are equal, their corresponding elements are also equal.

Comparing the corresponding elements, we get:

x + y + z = 9             … (1)

x + z = 5                    … (2)

y + z = 7                       … (3)

From (1) and (2), we have:

y + 5 = 9

⇒ y = 4

Then, from (3), we have:

4 + z = 7

⇒ z = 3

∴ x + z = 5

⇒ x = 2

∴ x = 2, y = 4, and z = 3

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पाठ 3: Matrices - Exercise 3.1 [पृष्ठ ६४]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
पाठ 3 Matrices
Exercise 3.1 | Q 6.3 | पृष्ठ ६४

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