claudfern
claudfern claudfern
  • 13-01-2021
  • Mathematics
contestada

how many solutions does this have? x+2y=3 x-y=6

Respuesta :

couragepaul12
couragepaul12 couragepaul12
  • 13-01-2021

Answer:

x = 5 , y = -1

Step-by-step explanation:

x + 2y = 3........(equation 1)

x - y = 6..........(equation 2)

make x the subject of the formula in (equation 1)

x = 3 - 2y

substitute for x in (equation 2)

3x - y = 6

(3- 2y) - y = 6

3 - 2y - y = 6

3 - 3y = 6

-3y = 6 - 3

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

[tex]y = - 1[/tex]

substitute for y in (equation 1)

x = 3 - 2y

[tex] \times = 3 - 2( - 1)[/tex]

x = 5

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