Answer:
(x, y) = (1, 1)
Step-by-step explanation:
[tex] -27x + 6y = -21 [/tex] --- (1)
[tex] -12x +3y = -9 [/tex] --- (2)
Multiplying (2) by -2 to get:
[tex] 24 x - 6 y = 1 8 [/tex] --- (3)
Adding (1) and (3) to get:
[tex]-27x + 6y = -21[/tex]
[tex]24x-6y=18[/tex]
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[tex]-3x=-3[/tex]
x = 1
Finding y:
[tex]-12(1) +3y = -9[/tex]
[tex]3y=-9+12[/tex]
[tex]3y=3[/tex]
y = 1
Therefore, (x, y) = (1, 1).
