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SOLVING LINEAR EQUATIONS
Primary School:
Fill in the box:
                   + 4 = 6

Now:
Find the value for x if:
          x + 4 = 6
x           1   1   1




    X = 3
1    1
x   1               1     1       1




        X + 1 = 5       Whatever you do to an
                        equation, do the same
    X + 1–1 = 5–1       thing to both sides of
                        the equation.
           X = 4
1           1
x   x            1       1   1       1




        2X = 6


        X = 3
1       1
x   x   1   1                1   1       1       1




           2X + 2 = 6
        2X + 2 – 2 = 6 – 2
                2X = 4


                X = 2
1   1
x   x   1                          x     1       1




           2X + 1    =   X   +   4
        2X + 1 – 1   =   X   +   4 –1
                2X   =   X   +   3
           2X – X    =   X   +   3 – X
                 X   =   3

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Equation

  • 2. Primary School: Fill in the box: + 4 = 6 Now: Find the value for x if: x + 4 = 6
  • 3. x 1 1 1 X = 3
  • 4. 1 1 x 1 1 1 1 X + 1 = 5 Whatever you do to an equation, do the same X + 1–1 = 5–1 thing to both sides of the equation. X = 4
  • 5. 1 1 x x 1 1 1 1 2X = 6 X = 3
  • 6. 1 1 x x 1 1 1 1 1 1 2X + 2 = 6 2X + 2 – 2 = 6 – 2 2X = 4 X = 2
  • 7. 1 1 x x 1 x 1 1 2X + 1 = X + 4 2X + 1 – 1 = X + 4 –1 2X = X + 3 2X – X = X + 3 – X X = 3