In an equation, the LHS is equal to the RHS.
Step 1: What is an equation?
An equation is a math statement with an equal sign (=) in the middle.
It has two sides:
Step 2: What must be true in an equation?
For a statement to be an equation, both sides must have the same value.
That means: \(\text{LHS} = \text{RHS}\).
Step 3: See with a simple example
LHS: \(2 + 3\)
\(= 5\)
RHS: \(5\)
So, \(2 + 3 = 5\). Here, LHS and RHS are both \(5\), so they are equal.
Step 4: Another example with working
LHS: \(7 - 2\)
\(= 5\)
RHS: \(3 + 2\)
\(= 5\)
Since both sides are \(5\), \(7 - 2 = 3 + 2\) is an equation.
Important:
If LHS and RHS are not equal, then it is not a true equation.
For example:
LHS: \(4 + 1 = 5\)
RHS: \(10\)
Here, \(5 \neq 10\). So \(4 + 1 = 10\) is false.
Conclusion:
By definition, in an equation the Left Hand Side equals the Right Hand Side. So the statement is true.