Question

Which solution method, graphing, substitution, or elimination is the most appropriate for solving each system of equations? Explain.
1. 3x + 8y = -4
2x - 4y = 16

2. x + y = 19
3x - 2y = -3

Answer 1

Ok from my math knowledge here is what I believe is the answer for each of these:

1) elimination: because you can just multiply the bottom equation (both sides of it!) by 2, and so eliminate the y variable. and from there it's easy to solve for x, and then you can use the answer for x to find y by substitution into one of the equations.

2) substitution: because you can see that it's easy to solve for either x OR y. and once you have the equation for either x= something or y= something you can just substitute that into one of the equations.