Answer
The best way to solve a system of equations using elimination is to have one variable with coefficients that have a sum or difference of zero.
Work Step by Step
Example:
$x+y = 4$
$2x-y = 8$
Adding the equations together yields $3x = 12$ (eliminating the $y$ in both equations).
$3x=12$
$3x/3 = 12/3$
$x=4$
$4+ y = 4$
$y=0$
