Question

Please Hurry

2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions. (2 points each)
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 - 6 = 24 + 9x
2x = 24 + 6
x = 15

x has one solution.

b)
25 - 4x + 15 - 3x + 10 - x = ?

x has no solution.

c)
4x + 8 = 2x + 7 + 2x - 20
0x = -13 - 8
0x = -21

x is undefined.
x ≠ ∞ or x ≠ -∞

∴ x has no solution.