How do you write 1/3x-1/3y=-213x−13y=−2 in standard form and what is A, B, C?

1 Answer
smendyka
Feb 7, 2017

color(red)(1)x - color(blue)(1)y = color(green)(-6)1x−1y=−6

Explanation:

The standard form of a linear equation is: color(red)(A)x + color(blue)(B)y = color(green)(C)Ax+By=C

where, if at all possible, color(red)(A)A, color(blue)(B)B, and color(green)(C)Care integers, and A is non-negative, and, A, B, and C have no common factors other than 1

To transform this equation into standard form we need to multiply each side of the equation by color(red)(3)3 which will also keep the equation balanced:

color(red)(3)(1/3x - 1/3y) = color(red)(3) xx -23(13x−13y)=3×−2

(color(red)(3) xx 1/3x) - color(red)(3) xx 1/3y) = -6(3×13x)−3×13y)=−6

3/3x - 3/3y = -633x−33y=−6

1x - 1y = -61x−1y=−6

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