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যদি , তাহলে x এবং y এর মানগুলি কী?

  1. x = 3, y = 3
  2. x = -3, y = 3
  3. x = 3, y = -3
  4. x = -3, y = -3

Answer (Detailed Solution Below)

Option 1 : x = 3, y = 3
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Detailed Solution

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প্রদত্ত:

ধারণা:

ম্যাট্রিক্স : যদি দুটি ম্যাট্রিক্স সমান হয়, তাহলে তাদের সংশ্লিষ্ট উপাদানগুলিকেও সমান হতে হবে।

 

গণনা:

⇒

⇒

যেহেতু ম্যাট্রিক্স সমান, তাদের সংশ্লিষ্ট উপাদানগুলিকেও সমান হতে হবে।

⇒ 2 + y = 5 এবং 2x + 2 = 8।

উপরের সমীকরণগুলি সমাধান করার পরে, আমরা পাই

⇒ y = 3 এবং x = 3

∴ x = 3 এবং y = 3

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