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)#
