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

Question

Avery Alexander · Accepted Answer

See a solution process below:

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)#

Hazel Anglin · Answer

undefined To write $x = 7y + 2$ in standard form, we typically rearrange the equation so that all the terms are on one side and the constant term is on the other side.

Standard form of a linear equation is $Ax + By = C$, where $A$, $B$, and $C$ are constants, and $A$ and $B$ are not both zero.

To write $x = 7y + 2$ in standard form, we move the terms containing $x$ and $y$ to one side:

$$x - 7y = 2$$

So, in standard form, the equation is $x - 7y = 2$.

Now, identifying $A$, $B$, and $C$:

$$A = 1$$
$$B = -7$$
$$C = 2$$