# SOLUTION: Quesion: Choose the nonlinear systesm below that have (x,y) = (4,3) as on of their solutions. (a) x^2+y^2=25 x+y=7 (b) y=x^2+2x-21 x-y+1 (c) x^2-y^2=7 2x+y=

Algebra ->  Algebra  -> College  -> Linear Algebra -> SOLUTION: Quesion: Choose the nonlinear systesm below that have (x,y) = (4,3) as on of their solutions. (a) x^2+y^2=25 x+y=7 (b) y=x^2+2x-21 x-y+1 (c) x^2-y^2=7 2x+y=      Log On

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 Question 30337: Quesion: Choose the nonlinear systesm below that have (x,y) = (4,3) as on of their solutions. (a) x^2+y^2=25 x+y=7 (b) y=x^2+2x-21 x-y+1 (c) x^2-y^2=7 2x+y=9 (d) a and b (e) b and cAnswer by sdmmadam@yahoo.com(530)   (Show Source): You can put this solution on YOUR website!Quesion: Choose the nonlinear systesm below that have (x,y) = (4,3) as on of their solutions. (a) x^2+y^2=25 x+y=7 (b) y=x^2+2x-21 x-y+1 (c) x^2-y^2=7 2x+y=9 (d) a and b (e) b and c (a) x^2+y^2=25 x+y=7 x= 4 and y = 3 gives x^2+y^2 =4^2+3^2 = 16+9 = 25 and x+y = 4+3= 7 Therefore (a) holds for x = 4 and y =3 (b) y=x^2+2x-21 x-y=1 x= 4 and y = 3 gives x^2+2x-21 = 4^2+2X(4)-21 = 16+8-21=3 = y x-y = 4-3 = 1 Therefore (b) holds for x = 4 and y =3 (c) x^2-y^2=7 2x+y=9 x= 4 and y = 3 gives x^2-y^2= 4^2-3^2 = 16-9 = 7 2x+y = 2X4 +3 = 8+3 = 11 NOT EQUAL TO the given 9 Therefore (c) DOES NOT HOLD for x = 4 and y =3 Since both (a) and (b) hold therefore the choice (d) a and b is the right answer