Find the values of x, y, z if [xy –zz+3]+[y43]=[4816] - Mathematics

Question

Find the values of x, y, z if $[\begin{matrix} x \\ y - z \\ z + 3 \end{matrix}] + [\begin{matrix} y \\ 4 \\ 3 \end{matrix}] = [\begin{matrix} 4 \\ 8 \\ 16 \end{matrix}]$

Sum

Solution

$[\begin{matrix} x \\ y - z \\ z + 3 \end{matrix}] + [\begin{matrix} y \\ 4 \\ 3 \end{matrix}] = [\begin{matrix} 4 \\ 8 \\ 16 \end{matrix}]$

x + y = 4 ...(1)

y – z + 4 = 8 ....(2)

Substitute the value of z in (2)

(2) ⇒ y – 10 = 4

Substitute the value of y in (1)

z + 3 + 3 = 16

z + 6 = 16

z = 16 – 16 = 10

y = 14

(1) ⇒ x + 14 = 4

x – 4 – 14 = – 10

The value of x = – 10, y = 14 and z = 10

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Q 5. (ii)Q 5. (i)Q 6

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. (ii) | Page 149

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Find the values of x, y, z if [xy –zz+3]+[y43]=[4816] - Mathematics

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