Question

W. Checkpoint: Solve lines 1) Tell whether each equation has exactly one solution, infinitely many solutions, or no solutions no exactly one solution Infinitely many solutions solutions 7(x-2) 9x - 2 9x + 3 = 3(3x + 1) 3x + 2 = 7(x-2)

Answer 1

7(x-2) = 9x - 2

open the parenthesis

7x - 14 = 9x - 2

collect like term

9x - 7x = -14 + 2

2x = -12

Divide both-side of the equation by 2

x = -6

It has exactly one solution

9x+3 =3(3x+1)

9x + 3 = 9x + 3

Since the left-hand side is exactly the same as the right hand side, then it has infinitely many solutions

3x + 2 = 7(x-2)

open the parenthesis

3x + 2 = 7x - 14

collect like term

7x -3x = 2 + 14

4x = 16

Divide both-side by 4

x = 4

It has exactly one solution