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If {bmatrix} x + 3& 4 y - 4 & x + y{bmatrix} = {bmatrix}5 & 4

Question

If $[x + 3 y - 4 4 x + y] = [5349]$ , find $x$ and $y$ .

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[x + 3 y - 4 4 x + y] = [5349]

, find

x

and

y

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Text solutionVerified

[x + 3 y - 4 4 x + y] = [5349]

When matrices are equal then their corresponding elements are also equal.

\Rightarrow

x + 3 = 5

---- ( 1 )

\Rightarrow

y - 4 = 3

---- ( 2 )

From ( 1 ),

\Rightarrow

x + 3 = 5

\Rightarrow

x = 5 - 3

∴

x = 2

From ( 2 ),

\Rightarrow

y - 4 = 3

\Rightarrow

y = 3 + 4

∴

y = 7

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