Question

Solve the following equation using the distributive property.

-19 = 5(x + 9)
a.x=-64/5
b.x= -33/7
c.x=-37/7
d.x= 13/5

Answer 1

-19=5(×+9)
-19=5×+45
-19-45=5×
-64=5×
-64/5=×
×=-64/5

Answer 2

The correct answer option is a. x = -64/5

Explanation:

The distributive property is used to multiply a single term with two or more terms inside the brackets or you can say the equations which are in the form a (b + c).

Its main purpose is to expand the terms by first multiplying each term inside the bracket with the term outside the term and then adding the like terms together.

Solving -19 = 5(x + 9) using distributive property, we get:

-19 = 5x + 45

-19 - 45 = 5x

5x = -64

Therefore,
`x = -(64)/(5)`