Question

(6 points)

2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.
(a) 6x + 4x - 6 = 24 + 9x
(b) 25 - 4x = 15 - 3x + 10 - x
(c) 4x + 8 = 2x + 7 + 2x - 20
Answer:

Answer 1

Use the acronym DCOAM [Distribute, Combine like terms, one side the variable, Add or subtract, Multipy or divide]

A has only one solution , x= 30

B is an identity because if you combine like terms and add, you get
25-4x=25-4x

C has no solutions