Lesson 3.3b Variables on Both Sides.notebook
October 03, 2012
Multi­step equations : The sides of the equations need to be simplified before it can be solved.
3.3
Solving Equations with Variables on Both Sides
Steps For Solving A Multi­Step Equation
1. Use the distributive property to remove parentheses on each side
2. Combine like­terms on each side
3. Make sure there are only variables on one side.
4. Undo addition or subtraction
5. Undo multiplication or division
Sep 5­1:27 PM
When we talk about equation solving, we call an equation an IDENTITY when it is always true. 10 ­ 8x = 2(5­4x)
Sep 5­1:27 PM
Sep 2­2:43 PM
When we talk about equation solving, we say an equation has NO SOLUTION when it is never true. 6x ­ 5 = 7x + 7 ­x
Sep 5­1:27 PM
Solve each equation. Label if it is an identity or has no solution.
1. 6x + 1 = 6x­8
2. y ­ 5 = ­ (5­y)
3. 9x + 3x ­10 = 3(3x + x)
4. 6x = 4(x + 5)
Sep 5­1:27 PM
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