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Find unknown x and y from from two equal matrices

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If two matrices A = \(\begin{bmatrix}x+y&0\\2x&7\end{bmatrix}\) and B =\( \begin{bmatrix}5&0\\4&7\end{bmatrix}\) are equal the the values of x and y are?
  1. 2,3
  2. 4,1
  3. 3,2
  4. 5,0

1 Answer

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Pathshala Nepal

Given,

\(\begin{pmatrix}x+y&0\\2x&7\end{pmatrix}=\begin{pmatrix}5&0\\4&7\end{pmatrix}\)

So, x+y=5 ⇒ y=3

And, 2x=4  ⇒ x=2
Hence (x,y) = (2,3)

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