How do you solve this problem using Algebraic Elimination

5x-8y=12
10x-16y=24:confused:

well you need either the Y's or the X's to cancel out so lets do that:

5x-8y=12 ---------> -2(5x-8y=12) ---------> -10x+16y=-24
10x-16y=24 -------------------> + 10x-16y=24
0+0=0
That means there are infinite solutions and it is a dependent