Question

Provide the correct reason for the statement in line 3.

Answer 1

1. Given

2. Distributive property

3. Subtraction property of equality

4. Division propery of equality

Step-by-step explanation:

The distributive property says that:

a(b + c) = a(b) + a(c)

In this case,

3(x + 5) = -1

3x + 3(5) = -1

3x + 15 = -1

Then, by the subtraction property of equality, we can sustract 15 from both sides, so:

3x + 15 - 15 = -1 - 15

3x = -16

Finally, by the division property of equality, we can divide both sides by 3, so:

3x/3 = -16/3

x = -16/3

Therefore, the reasons for each statement are:

1. Given

2. Distributive property

3. Subtraction property of equality

4. Division propery of equality