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Question
Find the value of x from the following: `[[2x - y 5],[ 3 y ]]` = `[[6 5 ],[3 - 2\]]`
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Solution
The corresponding elements of two equal matrices are equal.
\[Given: \begin{bmatrix}2x - y & 5 \\ 3 & y\end{bmatrix} = \begin{bmatrix}6 & 5 \\ 3 & - 2\end{bmatrix}\]
\[2x - y = 6 . . . \left( 1 \right)\]
\[y = - 2\]
Putting the value of y in eq . (1)
\[2x - \left( - 2 \right) = 6\]
\[ \Rightarrow 2x + 2 = 6\]
\[ \Rightarrow 2x = 6 - 2\]
\[ \Rightarrow 2x = 4\]
\[ \Rightarrow x = \frac{4}{2} = 2\]
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