Answer: 9x - 2y = 18
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Explanation:
Fractions are a bit of a pain, but luckily we can multiply both sides by the denominator 3 to clear out the fraction.
[tex]3x - 6 = \frac{2}{3}y\\\\3(3x - 6) = 3*\frac{2}{3}y\\\\9x-18 = 2y\\\\[/tex]
Now the task is to get the equation into Ax+By = C form like so:
[tex]9x-18 = 2y\\\\9x = 2y+18\\\\9x-2y = 18\\\\[/tex]
The equation is now in Ax+By = C form with A = 9, B = -2 and C = 18.
