Question

2x+3y=6 x+2y=5 elimination

Answer 1

In this equation you can eliminate the x value
multiply the second equation by -2 and you get:
-2x - 2y = -10 
when you add the two equations the x factors will cancel

   2x + 3y = 6
-  2x - 2y = -10 
---------------------
             y = 16

you can find the x value by plugging the y value that you now know into one of the equations that you started off with.