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Class 12 Matrices · Short Answer2 Marksmatrix_equality

Class 12 Maths · Matrices · Short Answer #62

If 2\(\begin{bmatrix}x & 5\\7 & y−3\end{bmatrix}\)+\(\begin{bmatrix}3 & -4\\1 & 2\end{bmatrix}\)=\(\begin{bmatrix}7 & 6\\15 & 14\end{bmatrix}\), find x+y.

✅ Step-by-Step Solution

Final Answer: 11
  1. Simplify the left side to [[2x+3,6],[15,2y−4]].
  2. Corresponding entries give 2x+3=7 and 2y−4=14, so x=2,y=9.
  3. Hence x+y=2+9=11.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Simplify the left side to [[2x+3,6],[15,2y−4]].
  • [1 mark] Corresponding entries give 2x+3=7 and 2y−4=14, so x=2,y=9.
  • [0.5 marks] Hence x+y=2+9=11.

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