Question 657336
Is this two separate equations??
4x+3y=14
9x-2y=14
In addition method, you want to eliminate one variable. Let's get rid of the y.
You must get the y in both equations to be the same thing.  The LCM is 6. Then multiply each equation by a certain number, such that the number in front of y is 6.  One must be negative, since -+ (+)= cancelled.
-2(4x+3y)=2(14)
3(9x-2y)=3(14)

-8x-6y=28
27x-6y=42

Get rid of the y.

19x=72
x=4
y=11