Number of Solutions

5x + 4 = 3(2x - 5) - (x + 5)

• No Solution

• One Solution

• Infinite Solution

-2(3m + 6) = -3(4 +2m)

• No Solution

• One Solution

• Infinite Solution

6(m+3)=2(m+5)

• No solution

• One Solution

• Infinite Solutions

8z - 22 = 3 ( 3z + 11) -z

• No Solution

• One Solution

• Infinite Solutions

3(x − 1) = 2x + 9

• No Solution

• One Solution

• Infinitely Many Solutions

2x − x + 7 = x + 3 + 4

• No Solutions

• Infinitely Many Solutions

• One Solution

4(2x + 1) = 5x + 3x + 9

• One Solution

• Infinitely Many Solutions

• No Solutions

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 8 = 3(x - 4) + 1

• one

• no solutions

• infinite solutions

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 7 = 3(x - 3) + 2

• one

• no solutions

• infinite solutions

2(4x + 3) =
8(x + 2) - 10

• one solution

• no solution

• infinitely many solutions