larisa16 larisa16
  • 25-11-2019
  • Mathematics
contestada

Solve
2x + 3y =2/3
3x - 4y = 18

Respuesta :

BasketballEinstein
BasketballEinstein BasketballEinstein
  • 27-11-2019

Answer:

[tex]\displaystyle [3\frac{1}{3}, -2][/tex]

Step-by-step explanation:

{2x + 3y = ⅔

{3x - 4y = 18

¾[3x - 4y = 18]

{2x + 3y = ⅔

{2¼x - 3y = 13½

____________

[tex]\displaystyle \frac{4\frac{1}{4}x}{4\frac{1}{4}} = \frac{14\frac{1}{6}}{4\frac{1}{4}} \\ \\[/tex]

[tex]\displaystyle x = 3\frac{1}{3}[/tex][Plug this back into both equations above to get the y-coordinate of −2]; [tex]-2 = y[/tex]

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