Question

Solve each given equation and show your work. Tell wether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contraction, or neither. A) 20 -4x=12 -x+8-3x B) 5x+4x-3=24+8x C) 5x+6=2x+6+3x-15

Answer 1

See below in bold.

Explanation:

(A) 20 -4x=12 -x+8-3x

-4x + x + 3x = 12 + 8 - 20

0 = 0 This is an Identity.

Infinite solutions.

B). 5x+4x-3=24+8x

9x - 8x = 24 + 3

x = 27. One solution.

C. 5x+6=2x+6+3x-15

5x - 2x - 3x = -15 + 6 - 6

0 = -15

No solution.