Let's solve this one with elimination:
-3x+7y=-16
-9x+5y=16
Multiply the top equation by 3 so we can isolate the y's.
-9x+21y=-48.
-9x+5y=16.
Subtract: 16y=-64, y=-4.
Plug the y value into any of the original equations you like.
-3x-28=-16.
-3x=12.
x=-4.
The lines intersect at the point (-4,-4)
Let's solve this one with elimination:
-3x+7y=-16
-9x+5y=16
Multiply the top equation by 3 so we can isolate the y's.
-9x+21y=-48.
-9x+5y=16.
Subtract: 16y=-64, y=-4.
Plug the y value into any of the original equations you like.
-3x-28=-16.
-3x=12.
x=-4.
The lines intersect at the point (-4,-4)