How do you write y=2x-3 in standard form?

Mar 5, 2018

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

We can solve the equation in the problem for the Standard Linear Form as:

$y = 2 x - 3$

y - color(red)y) + color(blue)(3) = 2x - color(red)y) - 3 + color(blue)(3)

$0 + 3 = 2 x - y - 0$

$3 = 2 x - y$

$2 x - y = 3$

$\textcolor{red}{2} x - \textcolor{b l u e}{1} y = \textcolor{g r e e n}{3}$