How do you write $y = 12 x$ $y=12x$ in standard form and what is A, B, C?

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How do you write $y = 12 x$ $y=12x$ in standard form and what is A, B, C?

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Answer 1 · 2017-04-13T12:49:59

See the entire solution process below:

Explanation:

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

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

First, subtract $12 x$ $color(red)(12x)$ from each side of the equation to place both the $x$ $x$ and $y$ $y$ term on the left side of the equation as required by the standard form:

$- 12 x + y = - 12 x + 12 x$ $-color(red)(12x) + y = -color(red)(12x) + 12x$

$- 12 x + y = 0$ $-12x + y = 0$

Because the $x$ $x$ coefficient must be positive we will multiply each side of the equation by $- 1$ $color(red)(-1)$ :

$- 1 (- 12 x + y) = - 1 \times 0$ $color(red)(-1)(-12x + y) = color(red)(-1) xx 0$

$(- 1 \times - 12 x) + (- 1 \times y) = 0$ $(color(red)(-1) xx -12x) + (color(red)(-1) xx y) = 0$

$12 x - 1 y = 0$ $color(red)(12)x - color(blue)(1)y = color(green)(0)$

$A = 12$ $color(red)(A = 12)$

$B = - 1$ $color(blue)(B = -1)$

$C = 0$ $color(green)(C = 0)$

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How do you write $y = 12 x$ $y=12x$ in standard form and what is A, B, C?

1 Answer

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How do you write $y = 12 x$ $y=12x$ in standard form and what is A, B, C?