How do you write #-3y - 6x = 10# in standard form?

1 Answer
Jul 19, 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

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)#