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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

Find the values of x, y, z if [x-33x-zx+y+7x+y+z]=[1016] - Mathematics

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Question

Find the values of x, y, z if `[(x - 3, 3x - z),(x + y + 7, x + y + z)] = [(1, 0),(1, 6)]`

Sum

Solution

x – 3 = 1 ⇒ x = 1 + 3 ⇒ x = 4

3x – z = 0  ...(substitute the value of x)

3(4) – z = 0

12 – z = 0

∴ z = 12

x + y + z = 6

4 + y + 12 = 0

y + 16 = 6

y = 6 – 16

∴ y = – 10

The value of x = 4, y = – 10 and z = 12

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Chapter 3: Algebra - Exercise 3.17 [Page 149]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 3 Algebra
Exercise 3.17 | Q 5. (i) | Page 149
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