Question
Find the values of $x$ and $y$, if $\left|\begin{array}{c}3 x-y \\ 5\end{array}\right|=\left|\begin{array}{c}7 \\ x+y\end{array}\right|$
✓
Answer
$\left|\begin{array}{c} 3 x-y \\ 5 \end{array}\right|_{2 \times 1}$
$=\left|\begin{array}{c} 7 \\ x+y \end{array}\right|_{2 \times 1} $
$ 3 x-y=7-(1) $
$ x+y=5-(2) $
$\Rightarrow x=5-y$
Putting the value of $x$ in $(1)$
$3(5-y)-y=7$
$\Rightarrow 15-3 y-y=7$
$\Rightarrow-4 y=-8$
$\Rightarrow y=2$
from $(2)$
$x+2=5$
$\Rightarrow x =3$
$=\left|\begin{array}{c} 7 \\ x+y \end{array}\right|_{2 \times 1} $
$ 3 x-y=7-(1) $
$ x+y=5-(2) $
$\Rightarrow x=5-y$
Putting the value of $x$ in $(1)$
$3(5-y)-y=7$
$\Rightarrow 15-3 y-y=7$
$\Rightarrow-4 y=-8$
$\Rightarrow y=2$
from $(2)$
$x+2=5$
$\Rightarrow x =3$
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