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
First, add #color(red)(9)# to each side of the equation to move the constant to the right side of the equation as required by the formula while keeping the equation balanced:
#color(red)(9) - 9 + 8x = color(red)(9) + 10y#
#0 + 8x = 9 + 10y#
#8x = 9 + 10y#
Now, subtract #color(red)(10y)# from each side of the equation to put the equation in Standard Linear form while keeping the equation balanced:
#8x - color(red)(10y) = 9 + 10y - color(red)(10y)#
#8x - 10y = 9 + 0#
#color(red)(8)x - color(blue)(10)y = color(green)(9)#
