Question 280009
How do I solve the system using addition/elimination method and show work? 
1.) 3x+2y=14
2.) 3x-2y+10

We can subtract the corresponding sides of the two equations above to eliminate x as follows: 

(3x+2y)-(3x-2y) = 14-10
3x-3x + 2y+2y = 4
4y = 4
y = 1

Now substitute 1 for y in either 1.) or 2.) and solve for x.