Hi Norris,
I believe the two equations are
3x + 5y = -8
and
5x - 3y = 15
lets get one of the terms the same in each equation we can then subtract and eliminate that term
15x + 25y = -40 (multipy the first equation by 5
15x - 9y = 45 (multiply the second equation by 3
now subtract to get rid of x
34y = -85
y = -85/34
now find x
5x -3y = 15
5x - 3(-85/34) = 15
5x + (255/34) = 15
5x = 15 -(255/34)
5x = (510/34) -(255/34)
5x = 255/34
x = 51/34
now check it
5x - 3y = 15
5(51/34) - 3(-85/34) = 15
(255/34) + (255/34) = 15
510/34 = 15
15 = 15
Hope this helps