Do you have a typo? of is the 2nd equation really 3b = 5b -3
If there is not a typo then solve for b: -2b = -3 so b = 3/2
Substitute 3/2 for b in the first equation.
If you do have a typo and you should have 3a = 5b - 3
then subtract the b terms from both sides in each equation
3a-2b = 1
3a-5b =-3
Multiply the top equation by -1
The a term will eliminate and you can solve for b.
To find a, substitute the value for be in either one of the original equations.
Be sure to check both answers in both equations.
3a=2b+1
3b=5b - 3
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