Wayground 23: Solutions

Variables cancel out, resulting in a false statement (e.g., 3 = 12)

A single value makes the equation true (e.g., 3 = 3)

Variables cancel out, resulting in a true statement (e.g., 2x+1 = 2x+1)

The equation has multiple answers

Combine like terms

Move variable terms to one side

Multiply both sides by zero

Divide to isolate x

Subtract 11x from both sides. . .

Add 11x -- then divide. . .

Distribute (multiply or divide). . .

Find the variables. . .

4 = 10

x = 2

x = 5

8x = 8x

No solution

One solution

Infinite many solutions

x = 0

The variables cancel out and the resulting statement is true for all values.

The variables cancel out and the resulting statement is false.

There is only one value that makes the equation true.

The equation has no variables.