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Mathematics

If [x+34y4x+y]=[5439]\begin{bmatrix} x + 3 & 4 \ y - 4 & x + y \end{bmatrix} = \begin{bmatrix} 5 & 4 \ 3 & 9 \end{bmatrix}, then the values of x and y respectively are:

  1. 2, 7

  2. 7, 2

  3. 3, 5

  4. 2, -7

Matrices

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Answer

Given,

[x+34y4x+y]=[5439]\begin{bmatrix} x + 3 & 4 \ y - 4 & x + y \end{bmatrix} = \begin{bmatrix} 5 & 4 \ 3 & 9 \end{bmatrix}

Solving for x and y :

∴ x + 3 = 5

⇒ x = 5 - 3

⇒ x = 2.

∴ y - 4 = 3

⇒ y = 3 + 4

⇒ y = 7.

Hence, option 1 is the correct option.

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