exam Maths Puzzle Numerical Ability

(x-5)(9x+4)=(3x-2)^2

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exam Other Question

Could you please help me with this problem. I am supposed to use a system of equations to solve this question.
I have 30 coins worth $6.00. The coins are quarters and dimes. How many of each do I have?
Thank you very much!
x + Y = -3
2x - y = -3

Pls solve and show detail. Need to know if graph has one solution, no solution, or infinitely many solutions.