encontre as assíntotas horizontais e verticais e faça um esboço do gráfico da equação. x^2y+4xy-x^2+x+4y-6=0? Gostaria de saber o passo a passo.

Resposta:Segue as cotas abaixo na explicação o que eu apliquei o Método de Adição

Explicação passo-a-passo:Método de Adição

a)x+y=42  x+y=42          b) 2x+7y=1     2x+7y=1

 x-y=8   25+y=42           -2x+3y=-11    2x+7.(-1)=1

 2x=50   25-25+y=42-25        10y=-10     2x-7=1

 x=50/2  y=17                  y=-10/10   2x-7+7=1+7

 x=25                          y=-1        2x=8

  S(25,17)                                 x=8/2

                                           x=4

                                     S(4,-1)

c) 7x-4y=22  7x-4y=22       d) 8x+6y=10   8x+6y=10

(-1) 2x-4y=-8   7.6-4y=22       (-1)-3x+6y=-12  8.2+6y=10

  7x-4y=22   42-4y=22          8x+6y=10   16+6y=10

  -2x+4y=8   42-42-4y=22-42     3x-6y=12   16-16+6y=10-16

  5x=30     -4y=-20(-1)         11x=22     6y=-6

  x=30/5     4y=20             x=22/11     y=-6/6

  x=6        y=20/4            x=2        y=-1

             y=5                    S(2,-1)

    S(6,5)

e)  4x+2y =-7    4x+2y=-7    f) 2x-y=12         2x-y=12

(-2) 2x+3y=-0,5   4x+2.1,5=-7     x/3+y/2=6       2x-12=12

   4x+2y=-7    4x+3=-7        2x-y=12        2x-12+12=12+12

  -4x-6y=1      4x+3-3=-7-3     2x/6+3y/6=36/6 2x=24

    -4y=-6(-1)   4x=-10      (-1) 2x-y=-12       x=24/2

     4y=6      x=-10/4         2x-3y=36      x=12

     y=6/4     x=-2,5          -2x+y=12

     y=1,5                     2x+3y=36

     S(-2,5;1,5)                    4y=48

                                  y=48/4

                                  y=12

                                   S(12,12)

g)x-y/5 = x-y/2      2x+5y=2

 2x = 2 -5y        2.2/7+5y=2

 5(x-y)=2(x-y)     4/7+5y=2

 2x+5y=2         4/7+35y/7=14/7

 5x-5y=2x-2y     4+35y=14

 2x+5y=2         4-4+35y=14-4

 5x-5y-2x+2y=0   35y=10

 2x+5y=2         y=10/35:5/5

(5) 3x-3y=0        y=5/7

(3) 2x+5y=2

  15x-15y=0

  6x+15y=6

  21x=6

  x=6/21:3/3

  x=2/7

   S(2/7,5/7)

h)3(x-2) = 2(y-3)         3x-2y=0

 18(y-2) + y = 3(2x + 3)   3x-2.3=0

  3x-6=2y-6            3x-6=0

  18y-36+y=6x+9       3x-6+6=0+6

  3x-6-2y+6=0         3x=6

  19y-36=6x+9         x=6/3

  3x-2y=0             x=2

 19y-36-6x-9

 3x-2y=0

 -6x+19y-45=0

(2) 3x-2y=0

 -6x+19y=45

  6x-4y=0

 -6x+19y=45

     15y=45

     y=45/15

     y=3

     S(2,3)