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
Step 1) Switch the #x# and #y# terms on the left side of the equation to meet the requirements of the Standard Formula:
#-3y - 6x = 10#
#-6x - 3y = 10#
Step 2)Multiply each side of the equation by #color(red)(-1)# to make the coefficient of the #x# term non-negative as required by the formula while keeping the equation balanced:
#color(red)(-1)(-6x - 3y) = color(red)(-1) xx 10#
#(color(red)(-1) xx -6x) + (color(red)(-1) xx -3y) = -10#
#color(red)(6)x + color(blue)(3)y = color(green)(-10)#
