Special Cases

Solve:

5x + 4 = 5x − 3

• One solution

• infinitely many solutions

• no solutions

Solve:

2y − 3 = 2y − 3

• One Solution

• infinitely many solutions

• no solutions

Solve:

4x + 1 = 8x − 3

• One Solution

• infinitely many solutions

• no solutions

Solve:

3(x − 2) = 3x − 6

• One Solution

• infinitely many solutions

• no solutions

Solve:

6(y + 4) = 6y + 10

• One Solution

• infinitely many solutions

• no solutions

Solve:

10x + 3 + 3x = 5x + 1 + 8x + 2

• One Solution

• infinitely many solutions

• no solutions

Solve:

9x + 7 − 5x = 4x − 7

• One SOlution

• infinitely many solutions

• no solutions

What does it mean when an equation has one solution?

• the equation is always TRUE when any value is substituted in for the variable

• the equation will NEVER be true when any value is substituted in for the variable

• only ONE solution will make the equation true

What does it mean when an equation has infinitely many solutions?

• "To infinity and beyond"

• the equation is always TRUE when any value is substituted in for the variable

• the equation will NEVER be true when any value is substituted in for the variable

• only ONE solution will make the equation true

Rate your level of understanding for solving equations with one solution, infinitely many solutions, and no solutions.

• I don't understand what to do.

• I somewhat understand, but I need more practice.

• I somewhat understand, but I need additional help.

• I understand what to do and feel confident.