Find the values of both x and y?

[tex]Answer: \\ 2x + 3y = 12 \: \vee \: 30x + 11y = 112 \\\Leftrightarrow 30x + 45y = 180 \: (1)\: \vee \:30x + 11y = 112 \: (2) \\ (1) - (2)\Rightarrow 34y = 68\Rightarrow y = 2 \\ 2x + 3 \times 2 = 12\Rightarrow x = 3[/tex]