Table of Contents
Solving Linear Equations by Transposition method
What is Transpose of a term?
Transpose of a term means transferring the term from its place to the opposite side in an equation. The following transpositions keep the overall value of the equation unchanged:
- If a term is added on one side of an equation, then it is subtracted when transposed to the other side.
Steps for Transposition method
- For example obtain the linear equation.
- Identify the variables and constants terms.
- Simplify the L.H.S. and R.H.S.
- Remove brackets.
- Transpose all terms containing variable on L.H.S. and constant terms on R.H.S.
- Simplify L.H.S. and R.H.S. in the simplest form so that each side contains just one term.
- Solve the equation obtained in step (5) by dividing both sides by the coefficient of the variable on LHS.
Solved Examples for Transpose method
Question: 10? + 3 = 43.
Solution:
Here, 3 can be transposed from L.H.S. to the R.H.S. as follows:
10? = 43 − 3
- If a term is subtracted on one side of an equation, then it is added when transposed to the other side.
Question: For example, ? − 10 = 4
Solution: Here, 10 can be transposed from L.H.S. to the R.H.S. as follows:
? = 4 + 10
- If a term is multiplied on one side of an equation, then it is divided when transposed to the other side.
Question: For example, 16? = 32.
Solution: Here, 16 can be transposed from L.H.S. to the R.H.S. as follows:
? = 32
16
- If a term is divided on one side of an equation, then it is multiplied when transposed to
the other side.
