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Find the value of x, if {bmatrix}3x + y & -y 2y - x & 3{bmatri

Question

Find the value of $x$ , if $[3 x + y 2 y - x - y 3] = [1 - 5 23]$ .

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Find the value of

x

, if

[3 x + y 2 y - x - y 3] = [1 - 5 23]

6 mins ago

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Text solutionVerified

[3 x + y 2 y - x - y 3] = [1 - 5 23]

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

\Rightarrow

3 x + y = 1

----- ( 1 )

\Rightarrow

- y = 2

\Rightarrow

y = - 2

---- ( 2 )

Substituting ( 2 ) in ( 1 ) we get,

\Rightarrow

3 x + (- 2) = 1

\Rightarrow

3 x - 2 = 1

\Rightarrow

3 x = 3

\Rightarrow

x = \frac{3}{3}

∴

x = 1

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