Answer with explanation:
⇒Consider an Equation in one variable
2x+5=4x+3
→When variable is not dropped from any side that is LHS and RHS, we get different Solution
Taking the variable on one side and constant on another side
→4x-2x=5-3
2 x= 2
Dividing by 2, on both sides
→x=1
→→Now, if we drop variable from both side , we will be equipped with only constants , which may or may not be equal.
→Now if we drop inequality from one side,Suppose LHS
4x+3=5
4x=5-3
4x=2
→→If, we drop inequality from other side,that is RHS
5+2x=3
2x=3-5
2x=-2
Dividing by 2, on both sides
x=-1
≡So, we get three distinct solutions ,(a) when variable is not dropped from any side, (b)A variable is dropped from either of LHS and RHS.