Question

Find x and y if $\left[\begin{array}{c}5x\\ 3y\end{array}\right]=\left[\begin{array}{c}-25\\ -15\end{array}\right]$

• A. x = 5, y = 5
• B. x = -5, y = 5
• C. x = -5, y = -5
• D. x = 5, y = -5

Answer 1

The correct option is C

x = -5, y = -5

Since, $\left[\begin{array}{c}5x\\ 3y\end{array}\right]=\left[\begin{array}{c}-25\\ -15\end{array}\right]$ equating the elements
$5x=-25\Rightarrow x=-53y=-15\Rightarrow y=-5$