[tex] \frac{x}{2} - y = - 24 \\ \\ 2x - \frac{y}{3} = 14 \\ \\ \\ \frac{x - 2y = - (2 \times 24)}{2} \\ \\ \frac{(3 \times 2x) - y = 3 \times 14}{3} \\ \\ \\ x - 2y = - 48 \\ 6x - y = 42 \\ \\ x - 2y = - 48 \\ - 12x + 2y = - 84 \\ \\ - 11x = - 132 \\ x = \frac{ - 132}{ - 11} \\ \\ x = 12 \\ \\ \\ x - 2y = - 48 \\ 12 - 2y = - 48 \\ - 2y = - 48 - 12 \\ - 2y = - 60 \\ y = \frac{ - 60}{ - 2} \\ \\ y = 30[/tex]