Question

If rhs of two equation are equal then lhs of both the equation will be equal or not

Answer 1

The answer is yes.

If RHS of two equations are equal, The LHS will be equal.

This is from EUCLID'S postulates that :-

Things equal to same thing are equal to one another.
Thus, if anything is equal to x and another thing is also equal to x. Then both the things must be equal.

To make the concept more clear, here is an example :-

Here are two equations :-
45x = 99y

67z = 99y

Here, the RHS of both the equations is 99y.
So,
45x is equal to 99y and so is 67z
This means that

Both 45x and 67z are equal to same thing.
So, they are also equal.

One more example :-

84u+68v = 45(a+b)

65x + 55y = 45(a+b)

So,
Here, both the LHS are equal.
So,
We can say from above equations that :-

84u + 68v = 65x + 55y
(LHS 1) = (LHS 2)


Thanks!