Question

The values of $x$ and $y$, respectively if $\left[\begin{array}{c}2x+y\\ 3x-2y\end{array}\right]=\left[\begin{array}{c}5\\ 4\end{array}\right]$ are

• A. $x=-2y,=1$
• B. $x=-2,y=-1$
• C. $x=2,y=1$
• D. $x=2,y=-1$

Answer 1

Answer: (C)

$x=2,y=1$

$\left[\begin{array}{c}2x+y\\ 3x-2y\end{array}\right]=\left[\begin{array}{c}5\\ 4\end{array}\right]\therefore 2x+y=5------\left(1\right)\times 23x-2y=4------\left(2\right)\times 1\therefore 4x+2y=103x-2y=4\_\_\_\_\_\_\_\_\_\_\_\_7x=14x=2\therefore 2\times 2+y=5y=5-4y=1$