In the first equation, multiply the first equation by 2. In the second equation, move the 2y to the left.
[tex]2x+2y=24[/tex] [tex]3x-2y=6[/tex]
Add the two equations to eliminate y and solve for x: [tex]5x+0=30[/tex] [tex]x=6[/tex]
Plug-in the the value of x in the either original equation to solve for x. I will use the first original equation because it is simpler than the second. [tex]X + y = 12[/tex]