Answer:
y=5
x=-1
Step-by-step explanation:
5x-2y=-15
3x+8y=37
add 2y to both sides
5x=2y-15
divide both sides by 5
x=(2y-15)/5
x=2y/5-3
substitute for x
3(2y/5-3)+8y=37
6y/5-9+8y=37
add 9 to each side
6y/5+8y=46
subtract 8y from both sides
6y/5=46-8y
multiply both sides by 5
6y=5(46-8y)
6y=230-40y
46y=230
y=5
substitute for y
5x-2(5)=-15
5x-10=-15
5x=-5
x=-1