1. Equations with Variables on Both Sides Day 2
Mrs. Book

2. Review: Equations with Variable on Both SIdes
To solve an equation that has variables on both sides use the Addition or Subtraction Properties of Equality to get the variables on one side of the equation.

3. An equation that is true for every value of the variable.
Identity
An equation that is true for every value of the variable.

4. Identity Example 10-8a = 2(5-4a) 10-8a = 10 – 8a +8a +8a

5. An equation that is not true has no solution.

6. Example of No Solution Equation
6m – 5 = 7m + 7 –m
6m – 5 = 6m + 7
-6m + 6m – 5 = -6m + 6m + 7
-5 = 7
No solution

7. Solve the equation. Determine if the equation is an identity or if it has no solution
18s – 5 =3 (6s -2)
18s – 5 = 18s – 6
-18s + 18s – 5 = -18s + 18s – 6
-5 = -6
No Solution

8. Solve the equation. Determine if the equation is an identity or if it has no solution
0 = .98b + .02b – b
0 = b – b
0 = 0
Identity

9. Example 5m – 2(m+ 2) = -(2m + 15) 5m – 2m - 4 = -2m – 15

10. Solve Each Equation Using a Graphing Calculator