Equations with Variables on Both Sides Day 2

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Presentation transcript:

Equations with Variables on Both Sides Day 2 Mrs. Book

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.

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

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

An equation that is not true has no solution.

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

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

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

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

Solve Each Equation Using a Graphing Calculator