If [ cc x+3 & 4 y-4 & x+y ]= [ ll 5 & 4 3 & 9 ] then the values o… - Vidyadip

MCQ

If $\left[\begin{array}{cc}x+3 & 4 \\ y-4 & x+y\end{array}\right]=\left[\begin{array}{ll}5 & 4 \\ 3 & 9\end{array}\right]$ then the values of $x$ and $y$ are

✓
$x=2, y=7$
B
$x=7, y=2$
C
$x=3, y=6$
D
$x=-2, y=7$

✓

Answer

Correct option: A.

$x=2, y=7$

$
\left[\begin{array}{cc}
x+3 & 4 \\
y-4 & x+y
\end{array}\right]=\left[\begin{array}{ll}
5 & 4 \\
3 & 9
\end{array}\right]
$
Comparing we get
$
\begin{aligned}
& x+3=5 \\
& \Rightarrow x=5-3=2
\end{aligned}
$
and
$
\begin{aligned}
& y-4=3 \\
& \Rightarrow y=3+4=7 \\
& x=2, y=7
\end{aligned}
$

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