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Linear Equations and Determinants - Class XI

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Multiple Choice

Which of the given values of $x$ and $y$ make the following pair of matrices equal.
$\displaystyle \begin{bmatrix} 3x+7 & 5 \ y+1 & 2-3x \end{bmatrix}=\begin{bmatrix} 0 & y-2 \ 8 & 4 \end{bmatrix}$

  1. $\displaystyle x=\frac { -1 }{ 3 } ,y=7$
  2. Not possible to find
  3. $\displaystyle y=7,x=\frac { -2 }{ 3 } $
  4. $\displaystyle x=\frac { -1 }{ 3 } ,y=\frac { -2 }{ 3 } $
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