Question

Determine whether each equation has one solution, no solution, or infinite solutions.

a. 2(x - 1) + 6 = 4x - 22
b. 6(2x + 1) – 2 = 12x + 4

Answer 1

a. has one solution

b. infinite solution

Explanation:

a.

2(x - 1) + 6 = 4x - 22

2x - 2 + 6 = 4x - 22

2x - 4x = 2 - 6 - 22

-2x = -26

x = 26/2

x = 13

b.

6(2x + 1) – 2 = 12x + 4

12x + 6 - 2 = 12x + 4

12x - 12x = 4 + 2 - 6

0 = 0