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
We can multiply each side of the equation by color(red)(30) to eliminate the fractions and ensure the coefficients are integers while keeping the equation balanced:
color(red)(30)(5/6x + 1/10y) = color(red)(30) xx 3/10
(color(red)(30) xx 5/6x) + (color(red)(30) xx 1/10y) = 90/10
(150x)/6 + (30y)/10 = 9
color(red)(25)x + color(blue)(3)y = color(green)(9)
color(red)(A = 25)
color(blue)(B = 3)
color(green)(C = 9)
