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

Jul 23, 2017

See a solution process below:

#### Explanation:

The standard form of a linear equation is: $\textcolor{red}{A} x + \textcolor{b l u e}{B} y = \textcolor{g r e e n}{C}$

Where, if at all possible, $\textcolor{red}{A}$, $\textcolor{b l u e}{B}$, and $\textcolor{g r e e n}{C}$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 $\textcolor{red}{7 y}$ 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:

$x - \textcolor{red}{7 y} = 7 y - \textcolor{red}{7 y} + 2$

$x - 7 y = 0 + 2$

$\textcolor{red}{1} x - \textcolor{b l u e}{7} y = \textcolor{g r e e n}{2}$

$\textcolor{red}{A = 1}$

$\textcolor{b l u e}{B = - 7}$

$\textcolor{g r e e n}{C = 2}$