[tex]2x - y = 9 \\ 3x + 4y = - 14 \\substitute \: that \: into \\ 2x = 9 + y \\ x = 4.5 + \frac{y}{2} [/tex]
Substitute that into
[tex]3(4.5 + \frac{y}{2} ) + 4y = - 14 \\ 13.5 + \frac{3y}{2} + 4y = - 14 \\ 5.5y = - 27.5 \\ y = - 5[/tex]
Substitute that into
[tex]2x - ( - 5) = 9 \\ 2x = 4 \\ x = 2[/tex]
The answer is first option (2, -5)
Hope this helps. - M
