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

1 Answer
Jul 23, 2017

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)#