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

प्रश्न

Determine the value of x + y if $[\begin{matrix} 2 x + y & 4 x \\ 5 x - 7 & 4 x \end{matrix}] = [\begin{matrix} 7 & 7 y - 13 \\ y & x + 6 \end{matrix}]$

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उत्तर

$[\begin{matrix} 2 x + y & 4 x \\ 5 x - 7 & 4 x \end{matrix}] = [\begin{matrix} 7 & 7 y - 13 \\ y & x + 6 \end{matrix}]$

⇒ 2x + y = 7 .......(1)

4x = 7y – 13 .......(2)

5x – 7 = y .......(3)

4x = x + 6 .......(4)

From (4)

4x – x = 6

3x = 6

⇒ x = $\frac{6}{3}$ = 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

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अध्याय 7: Matrices and Determinants - Exercise 7.1 [पृष्ठ १८]

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अध्याय 7 Matrices and Determinants
Exercise 7.1 | Q 3 | पृष्ठ १८

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

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

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