solving sys. of eqns by addition: 2x + 3y = 1, 5x + 3y + 16

I assume you mean ...

2x + 3y = 1
5x + 3y = 16

change the sign of every term in the first equation and combine the two equations term for term ...

-2x - 3y = -1
5x + 3y = 16
-----------------
3x = 15

note that the y-terms are eliminated because their sum is zero (hence, the name for the process of elimination)

you unstuck now?
 
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