Question

Use the distributive property to write the expression 1/5(5x-15y) without parenthesis.

Answer 1

Answer:

x-3y

Step-by-step explanation:

1/5 has to multiply to both 5x and 15y.

1/5 times 5 is 1 and 1/5 times 15 is 3.

Answer 2

Answer:

x-3y

Step-by-step explanation:

Distributive Property:

       ↓

A(B+C)=AB+AC

First, you multiply by the numbers or fractions from left to right.

$\frac{1*5x-15y}{5}$

1*5x-15y=5x-15y

$\frac{5x-15y}{5}$

5x-15y=5(x-3y)

$\frac{5(x-3y)}{5}$

Divide the numbers from left to right to find the answer.

$5\div5=1$

x-3y is the correct answer.

I hope this helps you, and have a wonderful day!