Tamil Nadu Board of Secondary EducationHSC Arts Class 11th

# Determine the value of x + y if [2x+y4x5x-74x]=[77y-13yx+6] - Mathematics

Sum

Determine the value of x + y if [(2x + y, 4x),(5x - 7, 4x)] = [(7, 7y - 13),(y, x + 6)]

#### Solution

[(2x + y, 4x),(5x - 7, 4x)] = [(7, 7y - 13),(y, x + 6)]

⇒ 2x + y = 7  .......(1)

4x = 7y – 13   .......(2)

5x – 7 = y   .......(3)

4x = x + 6   .......(4)

From (4)

4x – x = 6

3x = 6

⇒ x = 6/3 = 2

Substituting x = 2 in (1), we get

2(2) + y = 7

⇒ 4 + y = 7

⇒ y = 7 – 4 = 3

So x = 2 and y = 3

∴ x + y = 2 + 3 = 5

Concept: Matrices
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#### APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 11th Mathematics Volume 1 and 2 Answers Guide
Chapter 7 Matrices and Determinants
Exercise 7.1 | Q 3 | Page 18
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