KyrosStMarie KyrosStMarie

09-08-2017
Mathematics

contestada

Which ordered pair is the solution to the system of equations?
x + 3y + -12
y = [tex] \frac{1}{3} [/tex]x - 6

Respuesta :

liemonder liemonder

09-08-2017

[tex]I: x+3y-12=0\\II: y=\frac{1}{3}x-6[/tex]

substitute y of II in I:
[tex]x+3*(\frac{1}{3}x)-12=0\\ 2x-12=0\\ x=6\\[/tex]

x=6 in II:
[tex]y=\frac{1}{3}*6-6\\ y=2-6=-4[/tex]

so (6,-4) should be the solution

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