If x+3&4 -4&x+y = 5&4 3&9 , find x abd y - Vidyadip

Question

If $\begin{bmatrix}\text{x}+3&4\\\text{y}-4&\text{x}+\text{y} \end{bmatrix}=\begin{bmatrix}5&4\\3&9 \end{bmatrix},$ find x abd y

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Answer

The corresponding elements of two equal matrices are equai.Given: $\begin{bmatrix}\text{x}+3&4\\\text{y}-4&\text{x}+\text{y} \end{bmatrix}=\begin{bmatrix}5&4\\3&9 \end{bmatrix}$
x + 3 = 5 and y - 4 = 3
⇒ x = 5 - 3 and y = 3 + 4
⇒ x = 2 and y = 7
$\therefore$ x = 2 and y = 7

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