The values of x and y in $\left[\begin{array}{l}2 x+y \\ x+2 y\end{array}\right]=\left[\begin{array}{l}4 \\ 5\end{array}\right]$ are:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 1, 2
from matrix comparison
$2x+y=4$ ...(1)
$x+2y=5$ ...(2)
2 × eq. (2) - eq. (1)
$2x+4y-2x-y=10-6$
$3y=6⇒y=2$
from (2) $x+4=5⇒x=1$
$x,y=1,2$