Question

Question 4 (Essay Worth 10 points)

(07.05 MC)
An equation is shown below:
8x + 2(x-7) = 7x + 3x – 14
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)

Answer 1

Part A: Infinite solutions

First distribute 2(2x-7). Then combine like terms which would leave you with

10x-14=10x-14 which has infinite solutions.

Part B: Distributive Property

Explanation:

First distribute 2(x-7) to get 8x+2x-14=7x+3x-14. Then, combine like terms to get 10x-14=10x-14. Since both sides of the equation are the same there are an infinite number of solutions