Question

Write equation in standard form. 3x - 6 = 2/3 * y NOTE: It is two thirds y, not over 3y^ *

Answer 1

Answer: 9x - 2y = 18

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Step-by-step explanation:

Fractions are a bit of a pain, but luckily we can multiply both sides by the denominator 3 to clear out the fraction.

`3x - 6 = (2)/(3)y\\\\3(3x - 6) = 3*(2)/(3)y\\\\9x-18 = 2y\\\\`

Now the task is to get the equation into Ax+By = C form like so:

`9x-18 = 2y\\\\9x = 2y+18\\\\9x-2y = 18\\\\`

The equation is now in Ax+By = C form with A = 9, B = -2 and C = 18.