Find y lbeginbmatrix 485 11 - 3-endbmatrix bmatrixX Iy6 15lendbmatrix A- 2

The correct option is A 2Given, [ 4 amp;5; nbsp; 1 amp; 3 nbsp; ]× nbsp;[ x; nbsp; y nbsp; ]= nbsp;[ 6; nbsp; nbsp;5 nbsp; ] nbs ...

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Standard X

Mathematics

Multiplication of Matrices

Find y lbegin...

Question

Find y
$[\begin{matrix} 4 & 5 1 & 3 \end{matrix}] \times [\begin{matrix} x y \end{matrix}] = [\begin{matrix} 65 \end{matrix}]$
2

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Solution

The correct option is A 2
Given,
$[\begin{matrix} 4 & 5 1 & 3 \end{matrix}] \times [\begin{matrix} x y \end{matrix}] = [\begin{matrix} 65 \end{matrix}]$

Solving,
$[\begin{matrix} 4 x + 5 y x + 3 y \end{matrix}] = [\begin{matrix} 65 \end{matrix}]$

We get,
$4 x + 5 y = 6$ .. (i)
$x + 3 y = 5$
$\Rightarrow x = 5 - 3 y$ ... (ii)
Using (ii) in (i),
$\Rightarrow$ $4 (5 - 3 y) + 5 y = 6$
$\Rightarrow$ $20 - 12 y + 5 y = 6$
$\Rightarrow$ $14 = 7 y$
$\Rightarrow$ $2 = y$

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Find y [4513]×[xy]=[65] 2

The correct option is A 2Given, [4513]×[xy]=[65] Solving, [4x+5yx+3y]=[65] We get, 4x+5y=6.. (i) x+3y=5 ⇒x=5−3y... (ii) Using (ii) in (i), ⇒ 4(5−3y)+5y=6 ⇒ 20−12y+5y=6 ⇒ 14=7y ⇒ 2=y

Find y
$[\begin{matrix} 4 & 5 1 & 3 \end{matrix}] \times [\begin{matrix} x y \end{matrix}] = [\begin{matrix} 65 \end{matrix}]$
2