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## Define Transpose - It is a short-cut for solving equations

**Problem 2** : Solve 40 = x + 7

Answer : 40 = x + 7

Transpose "+7" R.H.S. to ?L.H.S ( and remember to change it into "-7")

and we get:

40 - 7 = x

solve L.H.S. and we get:

33 = x

**Definition**:When any term or number is shifted from one side of sign "=" to the other side by changing its arithmetic operator ("-" or "+"), it's

called **"Transpose"**

Transpose is a short-cut for solving equations.

Remember, when transpose is done arithmetic operator "+" is converted to arithmetic operator "-" and vice-versa.

**Lets try to solve following problems for further understanding:**

**Problem 1 **: Solve p - 4 = 10

Answer : p - 4 = 10

Transpose "-4" L.H.S. to R.H.S ( and remember to change it into "+4")

and we get:

p = 10 + 4

solve R.H.S. and we get:

p = 14

Answer : 40 = x + 7

Transpose "+7" R.H.S. to ?L.H.S ( and remember to change it into "-7")

and we get:

40 - 7 = x

solve L.H.S. and we get:

33 = x