exam Maths Puzzle Numerical Ability

The reciprocal of an integer plus the reciprocal of two times the integer plus two equals 2/3. Find the integer

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exam Other Question

{(x+1)(2x-1)/(2x-3)(x-3)}-{(x-3)(x+1)/(3-x)(3-2x)}+ {(2x+1)(x+3)/(3-2x)(x-3)



The answer I got was... 3x^2+10x+5/2x^2-9x+9

is this correct?

THANK YOU so much for your help!!
please solve the system:
x+y=-5
x-y=12