# Find the value of x if |x-122x1-33-45| = 29 - Mathematics and Statistics

Sum

Find the value of x if

|(x, -1, 2),(2x, 1, -3),(3, -4, 5)| = 29

#### Solution

|(x, -1, 2),(2x, 1, -3),(3, -4, 5)| = 29

∴ x|(1, -3),(-4, 5)|-(-1)|(2x, -3),(3, 5)|+ 2|(2x, 1),(3, -4)| = 29

∴ x(5 – 12) + 1(10x + 9) + 2(–8x – 3) = 29

∴ –7x + 10x + 9 – 16x – 6 = 29

∴ –13x + 3 = 29

∴ –13x = 26

∴ x = – 2

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#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 4 Determinants and Matrices
Exercise 4.1 | Q 2. (ii) | Page 63