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Class 12 Matrices · Short Answer2 Marksmatrix_equality

Class 12 Maths · Matrices · Short Answer #54

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: −4
  1. The left side simplifies to [[2x−3,6],[15,2y−4]].
  2. Equate corresponding entries: 2x−3=7 gives x=5, and 2y−4=14 gives y=9.
  3. Thus x−y=5−9=−4.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The left side simplifies to [[2x−3,6],[15,2y−4]].
  • [1 mark] Equate corresponding entries: 2x−3=7 gives x=5, and 2y−4=14 gives y=9.
  • [0.5 marks] Thus x−y=5−9=−4.

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