Question

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 1

a) 6x + 4x - 6 = 24 + 9x
    10x - 9x = 24 + 6
               x = 30
b) 25 - 4x = 15 - 3x + 10 - x
    25 - 4x  = 25 - 4x
             
Infinite Solutions.

c) 4x + 8 = 2x + 7 + 2x - 20
   4x - 4x = 7  - 20 - 8
    0 = - 22
No solution