Convert y − 3 = 1/3(x − 6) to standard form. a. x − 3y = 1 b. x − 3y = −3 c. x + 3y = 3 d. x + 3y = −1

The equation of a straight line in "standard form" resembles Ax + By + C = 0.

Starting with y − 3 = 1/3(x − 6) (which is the equation of a line in point-slope form), remove the fractional coefficient 1/3 by multiplying both sides of this equation by 3:

3y - 9 = x - 6.

We want all terms except for 0 to appear on one side of this equation. Subtract 3y from both sides, obtaining:

-9 = 1x - 3y - 6

Finally, add 9 to both sides, obtaining:

0 = 1x - 3y + 3

This result has the form Ax + By + C = 0, and is thus in standard form.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: