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Solving Linear Equations  byINVERSE PROCESSING
Example 1     y – 4= 7 To undo  – 4,  we add 4 to both sides + 4 + 4 y - 4 =7 zero 11 The equation then reduces to      y=11
Example 2     m + 3= -3     To undo  +3,  we subtract 3 from both sides  - 3 - 3 m + 3  =-3 zero - 6 The equation then reduces to        m=- 6
Example 3    4w= - 8               w  is multiplied by 4.   To undo this, we divide both sides by 4 2      4w =- 8 1 4 4     Simplify each side by dividing The equation then reduces to 1w=-2  W  =  -2
Example 5y – 4=-14 + 4 + 4 5y - 4 =- 14 zero -10       The equation then reduces to    5y=-10 5y =-10 5 5 Y=-2 Y=?
Example 2k  +  5= 3 - 5  - 5 2k + 5 =  3 zero - 2       The equation then reduces to    2k=- 2 2k =- 2 2 2 k=- 1 k=?
Example -3m=12 7 1 -3m          7 x 7 =12 x 7 =84 -3m 1 divide both sides by -3 1 28  -3m  =84 -3 -3 m=-28
Example 2( e – 4 )=-1 Multiply everything in the bracket by 2 2e - 8 =    -1 + 8   + 8 2e - 8     =- 1  zero  7       The equation then reduces to    2e=- 7 2e = 7 2 2 e=3.5

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Equations inverse

  • 1. Solving Linear Equations byINVERSE PROCESSING
  • 2. Example 1 y – 4= 7 To undo – 4, we add 4 to both sides + 4 + 4 y - 4 =7 zero 11 The equation then reduces to y=11
  • 3. Example 2 m + 3= -3 To undo +3, we subtract 3 from both sides - 3 - 3 m + 3 =-3 zero - 6 The equation then reduces to m=- 6
  • 4. Example 3 4w= - 8 w is multiplied by 4. To undo this, we divide both sides by 4 2 4w =- 8 1 4 4 Simplify each side by dividing The equation then reduces to 1w=-2 W = -2
  • 5. Example 5y – 4=-14 + 4 + 4 5y - 4 =- 14 zero -10 The equation then reduces to 5y=-10 5y =-10 5 5 Y=-2 Y=?
  • 6. Example 2k + 5= 3 - 5 - 5 2k + 5 = 3 zero - 2 The equation then reduces to 2k=- 2 2k =- 2 2 2 k=- 1 k=?
  • 7. Example -3m=12 7 1 -3m 7 x 7 =12 x 7 =84 -3m 1 divide both sides by -3 1 28 -3m =84 -3 -3 m=-28
  • 8. Example 2( e – 4 )=-1 Multiply everything in the bracket by 2 2e - 8 = -1 + 8 + 8 2e - 8 =- 1 zero 7 The equation then reduces to 2e=- 7 2e = 7 2 2 e=3.5