This question shows the power of conserved quantities. consider a particle in a smooth monotonic attractive central potential v
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2x-3y = 8
Add 3y on both sides
2x = 8 + 3y
Subtract 8 on both sides
3y = 2x - 8
Divide 3 on both sides
Add 3y on both sides
2x = 8 + 3y
Subtract 8 on both sides
3y = 2x - 8
Divide 3 on both sides