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)
