Answer :
5x-3y=16
3x-5y=-4
Multiply the first equation by 3; the second one by 5
15x-9y=48
15x-25y=-20
Eq 1 - Eq 2:
-9y+25y=48+20=68
16y=68
4y=17
y=17/4
5x-3y=16
5x-3×17/4=16
5x=16+51/4=(64+51)/4=115/4
x=115/4/5=23/4
x=23/4
5x-3y=16
3x-5y=-4
Multiply the first equation by 3; the second one by 5
15x-9y=48
15x-25y=-20
Eq 1 - Eq 2:
-9y+25y=48+20=68
16y=68
4y=17
y=17/4
5x-3y=16
5x-3×17/4=16
5x=16+51/4=(64+51)/4=115/4
x=115/4/5=23/4
x=23/4