Section 3.4: Solving Equations with Variables on Both Sides

1
Section 3.4 Solving Equations with Variables on
Both Sides

• Algebra 1
• Ms. Mayer

2
Things to remember when solving equations with
the variable on both sides

• 1. Distribute right away if necessary!!!
• 2. Combine like terms on the same side of the
  equation if necessary!!!
• 3. Always start by getting the variable on the
  same side!!!
• - Add or subtract the term with the variable
  from both sides of the equation.
• - When doing this you can only add or subtract
  like terms!!!
• 4. Use inverse operations to solve for the
  variable!!!
• 5. Always multiply or divide as the last step!!!

3
Examples to discuss Dont have to distribute or
combine like terms!!!

• Solve each equation. Remember get the variable
  on the same side of the equation!!!
• 7x 15 -2x 60 130 4y 6y

4
More examples to discuss You have to combine
like terms 1st!!!

• Solve each equation. Remember to combine like
  terms 1st!!!
• 3x 10 4x 5x 7

5
More examples to discuss You have to combine
like terms 1st!!!

• Solve each equation. Remember to combine like
  terms 1st!!!
• x 6 5x 14 2x

6
More examples

• Solve each equation.
• 15 2y 3y

7
More examples

• Solve each equation.
• r 2 3r 6 5r

8
More examples

• Solve each equation.
• 34 3x 14x

9
Try these problems

• Solve each equation.
• 1. 5y 2 y 10 2. 6x 3 8 7x 2x

10
Work on This

• Common Core Workbook
• Pages 31-32