Question 984222
3x+2y=14
x+-12y=-8 

Elimination means you need to eliminate a variable. Let's eliminate x, and we will have just y to solve for.  Once we have y, we can find x.

To eliminate x, first make the leading coefficient the same but the opposite sign.  That means multiply the second equation by -3. Watch what happens

3x+2y=14
-3x+36y=24;  Notice that every term in the second equation is multiplied by -3.  Watch the signs.
Now you can add the two equations.
0+38y=38, because 3x-3x=0.  X is gone.

38y=38
y=1
substitute into either equation.
3x+2=14
3x=12
x=4

Check (4,1) in second equation.
4-12=-8.  It checks.