Equations With Variables on Both Sides Algegra 1: Section 2-4 Equations With Variables on Both Sides

Objectives: To solve equations with variables on both sides To identify equations that are identities or have no solution

Variables on Both sides 7k – 4 = 5k + 16 + 4 + 4 7k = 5k + 20 -5k - 5k 2k = 20 2 2 k = 10 2(c – 6) = 9c + 2 2c – 12 = 9c + 2 +12 + 12 2c = 9c + 14 -9c -9c -7c = 14 -7 -7 c = -2

Identity An equation whose answer is ALWAYS true is called an IDENTITY. EXAMPLE: 9 + 5x = 7x + 9 – 2x -9 -9 5x = 7x – 2x 5x = 5x The answer is an identity because 5x always = 5x.

Equations with no solutions: An equation whose solution is NEVER true has NO SOLUTION. 9 + 5n = 5n – 1 +1 + 1 10 + 5n = 5n - 5n - 5n 10 = 0 The solution is NEVER true, so the answer is No Sol.

Check understanding: 4p – 10 = p+3p – 2p 18x – 5 = 3(6x – 2)

Assignment: Pg. 98: multiples of 3 #3-39, 46, 55, 56, 63