Hello everyone. I hope you all had a wonderful Thanksgivingholiday. Please I nee

Question

Hello everyone. I hope you all had a wonderful Thanksgivingholiday. Please I need help solving these problems. I am just toofar from the correct answers! 1a) I want to solve this system by any availablemethod:- y = 8-2x                                                                                        4x+2y=16. I was asked to identify systems with no solution andsystems with infinetely many solutions, using set notation toexpress their solution sets. 2a) These other two are to be solved by substitutionmethods-         xy = 12         x + y =-7    b) x2 + y2 = 61        x + y = 11. Thanking you all for your usual and anticipatedcooperation.

Explanation / Answer

1. a) 4x+2(8-2x)=16 4x+16-4x=16 no solution b) 3x+y=9 3x-y=0 2y=9 y=9/2 3x+9/2=9 6x+9=18 6x=9 x=3/2 2 a) y=12/x x+12/x=-7 x^2+12=-7x x^2+7x+12=0 (x+3)(x+4)=0 x=-3 x=-4 b) y=11-x x^2+121-22x+x^2=61 2x^2-22x+60=0 2(x^2-11x+30)=0 2(x-5)(x-6)=0 x=5 x=6 5+y=11 y=6 6+y=11 y=5

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