From solving 1 and 2 we get,
1.
5a(a-3)-3(a-3) = 0
(5a-3)(a-3) = 0
a = 3 or 3/5
2.
3b(b+2)-1(b+2) = 0
b = -2 or b = 1/3
Here when a = 3, a > b for b = -2 and b = 1/3
when a = 3/5. a > b for b = -2 and b = 1/3.
Hence, it is clear that a > b.
Assumptions:
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