Question

5(2x − 3) = 5

Part A: How many solutions does this equation have?

Part B: What are the solutions to this equation? Show your work.

Answer 1

A) When you apply the distributive property to 5(2x−3)=5, you obtain a polynomial of degree 1. When, you solve it, the value of x is 2 (x=2). Then, it has one solution.

 5(2x−3)=5
 10x-15=5  (The variable x has exponent 1)

 B)You can solve this equation as following:

 1. Apply the distributive property, as below:

 5(2x−3)=5
 10x-15=5
 10x=5+15
 10x=20
 x=20/10
 x=2