- Changing a term from one side of an equation to the other side is called transposition.
- If a term is moved (Transposed) from one side of an equation to the other then the sign of the term is changed.
- If a quantity dividing a side is moved (Transposed) to the other side, it multiplies the other side.
- If a quantity multiplying a side is moved (Transposed) to the other, it divides the other side.
- If the same term (same both in magnitude and sign) is present on both sides of an equation then it can be cancelled.
Solve the equation 2x+4 = 8.
Moving (Transposing) +4 to the other side i.e., R.H.S.
2x = 8-4
2x = 4
Taking 2, which is a multiplying quantity to L.H.S.
x = 4/2
x = 2
Substituting x = 2 in the equation
L.H.S. Þ 2x+4 = 2*2 + 4 = 4 + 4 = 8 = R.H.S.
\ x = 2 is the solution.
Directions: Solve the following equations. Also write at least ten examples of your own.