10. How many solutions does the equation have? 4b − 10 = 2(2b − 5) A. zero solutions B. one solution C. infinitely many solutions

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given the equation:

4b - 10 = 2(2b - 5 )

Determine the number of solutions.

Solution:

In order to determine the solutions of the equation, we simply distribute first 2 to each value inside the parenthesis.

4b - 10 = 2 (2b - 5)

4b - 10 = 4b - 10

Since we have the same values on both sides of the equation, this means that there will be no solution. If we transpose 4b - 10 to the other side, it will result to 0.

Final answer:

A. zero solutions.