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Equations with Fractions on Both Sides
Equations with Fractions on Both Sides
Equations with Fractions on Both Sides
Equations with Fractions on Both Sides
Equations with Fractions on Both Sides
Equations with Fractions on Both Sides
Equations with Fractions on Both Sides
Equations with Fractions on Both Sides
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Equations with Fractions on Both Sides

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Solving Equations with Fractions on Both Sides

Solving Equations with Fractions on Both Sides

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  1. Image Source: http://www.blogspot.com
  2. Solve the Equation : n-3 = n+6 2 3 We cannot solve this Equation using “Onion Skins” or “Back-Tracking”, because our Equation has Fractions and the Variable letter “n” is on both sides of the Equation. WE NEED TO DO SOME EXTRA STEPS BEFORE WE CAN SOLVE THE EQUATION
  3. Solve the Equation : n-3 = n+6 2 3 The Extra Steps are: 1. Cross Multiply using Brackets (to remove fractions) 2. Identify the smaller letter term (letters both sides step) 3. Apply the Opposite Operation ( + or - ) to this smaller item on both sides. 4. Simplify and Solve the Equation as normal.
  4. Solve the Equation : 1a. Cross Multiply : 1b. Use Brackets : 1c. Expand Out : n-3 = n+6 2 3 n-3 = n+6 2 3 3 (n - 3) = 2 (n + 6) 3n - 9 = 2n + 12 Now solve as letter both sides (see next slide)
  5. Finish off our previous question as a variable both sides type question (Eg.Apply Opposites) 3n - 9 - 2n n–9 +9 n = 2n + 12 - 2n = 12 +9 = 21
  6. Solve the Equation : 8h + 7 = 3h - 4 2 1a. Cross Multiply : 8h + 7 = 3h -4 2 1b. Use Brackets : 1 (8h + 7) 1c. Expand Out : 8h + 7 1 = 2 (3h - 4) = 6h - 8 Now solve as letter both sides (see next slide)
  7. Finish off our previous question as a variable both sides type question (Eg.Apply Opposites) 8h + 7 - 6h 2h + 7 -7 2h /2 h = 6h - 8 - 6h = -8 -7 = -15 /2 = -7.5 or -7 ½
  8. http://passyworldofmathematics.com/ All Images and Diagrams are Copyright by Passy’s World of Mathematics

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