{3/x - 2/y = - 7/2

{6/x + 4/y = 9

*** 1/x = w e 1/y = z

{3w - 2z = - 7/2 . (- 2) ⇒ - 6w + 4z = 7

{6w + 4z = 9

- 6w + 6w + 4z + 4z = 7 + 9

0 + 8z = 16

8z = 16

z = 16/8

z = 2

3w - 2 . 2 = - 7/2

3w - 4 = - 7/2

3w = - 7/2 + 4

3w = (- 7 + 8)/2

3w = 1/2

w = 1/2 . 1/3

w = 1/6

*** 1/x = w e 1/y = z

1/x = 1/6

x = 6

1/y = z

1/y = 2

1 = 2y

2y = 1

y = 1/2

S = {(x , y) = (6 , 1/2)}

atte. yrz

Resposta:

S={(x, y)}={6, 1/2}

Explicação passo-a-passo:

[tex] \frac{3}{x} - \frac{2}{y} = \frac{ - 7}{2} [/tex]

[tex] \frac{6}{x} + \frac{4}{y} = 9[/tex]

[tex] - - - - - - - - - - [/tex]

[tex] \frac{1}{x} = a \: \: \: \: e \: \: \frac{1}{y} = b[/tex]

[tex]3a - 2b = \frac{ - 7}{2} \: \: \times ( - 2)[/tex]

[tex]6a + 4b = 9[/tex]

______________

-6a+4b=7

6a+4b=9

________

8b=16

b=16/8

b=2

-6a+4b=7

-6•2+4b=7

-6a+4.2=7

-6a+8=7

-6a=7-8

-6a=-1 ×(-1)

6a=1

a=1/6

1/x=a

1/x=1/6

x=6

1/y=b

1/y=2

2y=1

y=1/2