Question
Find the values of $x$ and $y$ if $:\left[\begin{array}{c}2 x+y \\ 3 x-2 y\end{array}\right]=\left[\begin{array}{l}5 \\ 4\end{array}\right]$
✓
Answer
Comparing corresponding elements,
$2x + y = 5 …(i)$
$3x – 2y = 4 …(ii)$
Multiply $(i)$ by $2$ and $(ii)$ by $'1\ ’$ we get
$4x + 2y = 10,$
$3x – 2y = 4$
Adding we get,
$7x = 14$
$\Rightarrow x = 2$
Substituting the value of $x$ in $(i)$
$2 x^ 2 + y = 5$
$\Rightarrow 4 + y = 5$
$y = 5 – 4$
$= 1$
Hence $x = 2, y = 1.$
$2x + y = 5 …(i)$
$3x – 2y = 4 …(ii)$
Multiply $(i)$ by $2$ and $(ii)$ by $'1\ ’$ we get
$4x + 2y = 10,$
$3x – 2y = 4$
Adding we get,
$7x = 14$
$\Rightarrow x = 2$
Substituting the value of $x$ in $(i)$
$2 x^ 2 + y = 5$
$\Rightarrow 4 + y = 5$
$y = 5 – 4$
$= 1$
Hence $x = 2, y = 1.$
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