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in Linear Equations by (55.0k points)
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If \( ​​​​\begin{pmatrix} x & y \\ 3y & x \\ \end{pmatrix} \)\( ​​​​\begin{pmatrix} 1 \\ 2 \\ \end{pmatrix} \) = \( ​​​​\begin{pmatrix} 3 \\ 5 \\ \end{pmatrix} \)then

A. x =1, y = 2 

B. x = 2, y = 1 

C. x = 1, y = 1 

D. none of these

1 Answer

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Best answer

\( ​​​​\begin{pmatrix} x & y \\ 3y & x \\ \end{pmatrix} \)\( ​​​​\begin{pmatrix} 1 \\ 2 \\ \end{pmatrix} \)

 

Comparing with R.H.S 

x + 2y = 3 ------- (i) 

2x + 3y = 5 -------- (ii) 

(i) x 2 – (ii) 

2x + 4y – 2x + 3y = 6 - 5 

y = 1 

Putting y in (i) 

x + 2(1) = 3 

x = 1

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