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3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
3 2 Solving Linear Equations
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3 2 Solving Linear Equations

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  • 1. To solve an equation is to isolate the variable.
  • 2. To isolate the variable means to get it alone on one side of the equation.
  • 3. Given the equation,how do we isolate the x? x =4 7
  • 4. What number has to move to leave x alone on one side of the equation? x =4 7
  • 5. What number has to move to leave x alone on one side of the equation? x =4 7
  • 6. If we couldmove the seven, x =4 7
  • 7. If we could move the seven,the x would be isolated. x =4 77 77 77 77
  • 8. The next question is,how can we move the 7? x =4 7
  • 9. What is the sevendoing in the equation? x =4 7
  • 10. What operationundoes division? x =4 7
  • 11. To move the 7, we just need to multiplyboth sides of the equation by 7. x =4 7
  • 12. Remember . . . when you do somethingto one side of an equation x 7 ⋅ =4 7
  • 13. you have to do exactly the same thing to the other side. x 7 ⋅ =4 ⋅ 7 7
  • 14. When we simplify, x 7 ⋅ =4 ⋅ 7 7
  • 15. When we simplify,we will have our solution. x = 28
  • 16. To solve equationsthat involve multiplication you divide, 3a = 15 3 3
  • 17. To solve equationsthat involve multiplication you divide, a=5
  • 18. and to solve equations that involve division you multiply. b 9 ⋅ = −2 ⋅ 9 9
  • 19. and to solve equations that involve division you multiply. b = −18
  • 20. When Val works at the zoo on Saturday, she earns $10.80 perhour. She also is paid $8 for meals and $3 for transportation.Last Saturday she received $83.90. How many hours did shework??Ms. Toshio bought gas for $2.39 per gallon and a drink for$1.50. The total bill was $31.15 before sales tax. How manygallons of gas did she buy??Bena lives in Delaware, where there is no sales or meals tax.She bought three chicken sandwiches with a $10 bill andreceived $1.45 change. What was the price of one sandwich??

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