Elimination

3x + 4y = 2

4x - 4y = 12

To do this, add the equations together like this,

3x + 4y = 2 plus

4x - 4y = 12

-x = 14

Multiply the negative sign to both sides because the x cannot be a negative.

x = - 14

Now plug in - 14 for a x value in one equation, like this to get the y value:

3 (-14) + 4y = 2

-42 + 4y = 2

Add 42

4y = 44

y = 11

Your x and y values are:

x = - 14

y = 11