Put the following equation of a line into slope-intercept form, simplifying all fractions.
3x – 9y = -72

24+-3y

Step-by-step explanation:

Move all terms containing x to the left, all other terms to the right.

Add '-9y' to each side of the equation.

3x + 9y + -9y = 72 + -9y

Combine like terms: 9y + -9y = 0

3x + 0 = 72 + -9y

3x = 72 + -9y

Divide each side by '3'.

x = 24 + -3y

Simplifying

x = 24 + -3y

21 scoops

Step-by-step explanation:

We will divide the amount the recipe calls for, 3 1/2 cups, by the size of the scoop, 1/6 cup:

3 1/2 ÷ 1/6

Convert the mixed number to an improper fraction.  Multiply the whole number by the denominator and add the numerator; 3(2)+1 = 6+1 = 7; this makes it 7/2:

7/2 ÷ 1/6

To divide fractions, flip the second one and multiply:

7/2 × 6/1

42/2 = 21