How do you write $x=7y+2$ in standard form and what is A, B, C?

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How do you write $x=7y+2$ in standard form and what is A, B, C?

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Answer 1 · 2017-07-23T21:22:49

See a solution process below:

Explanation:

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

Where, if at all possible, $color(red)(A)$ , $color(blue)(B)$ , and $color(green)(C)$ are 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, subtract $color(red)(7y)$ from each side of the equation to put the $x$ and $y$ variables on the left side of the equation as required by the Standard formula while keeping the equation balanced:

$x - color(red)(7y) = 7y - color(red)(7y) + 2$

$x - 7y = 0 + 2$

$color(red)(1)x - color(blue)(7)y = color(green)(2)$

$color(red)(A = 1)$

$color(blue)(B = -7)$

$color(green)(C = 2)$

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How do you write $x=7y+2$ in standard form and what is A, B, C?

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Explanation:

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