Final answer:
The equivalent expression to 3/5 (20x - 80y) is 12x - 48y, obtained by distributing the fraction across each term inside the parentheses and simplifying.
Step-by-step explanation:
The expression 3/5 (20x - 80y) is an algebraic expression, and the student has asked for an equivalent expression. To simplify this, we distribute the multiplication of 3/5 across the terms inside the parentheses.
Step 1: Multiply 3/5 by each term inside the parentheses (20x and -80y):
3/5 * 20x = (3 * 20x) / 5 = 60x / 5 = 12x
3/5 * -80y = (3 * -80y) / 5 = -240y / 5 = -48y
Step 2: Combine the simplified terms:
12x - 48y
So, the equivalent expression to 3/5 (20x - 80y) is 12x - 48y.