Chapter 11 - Systems of Equations and Inequalities - 11.3 Systems of Linear Equations: Determinants - 11.3 Assess Your Understanding - Page 741: 2

$\begin{vmatrix}5&3\\-3&-4\end{vmatrix}$

Using Cramer's Rule, the value of $x$ that satisfies the system of equations $\begin{cases} 2x+3y=5\\ x-4y=-3 \end{cases}$ is $x=\dfrac{\begin{vmatrix}5&3\\-3&-4\end{vmatrix}}{\begin{vmatrix}2&3\\1&-4\end{vmatrix}}$.