Dimensional analysis can be used to check equation validity because each unit can be treated as an algebraic quantity to verify that the answer has the correct units.

Its correct that Dimensional analysis can be used to check equation validity because each unit can be treated as an algebraic quantity to verify that the answer has the correct units.

We do this by finding out the dimensions of the quantity on right hand side of the equation and on the left hand side of the equation.

Mainly, the divisions of dimension is done using:
-- Length (represented by L)
-- Time (represented by T) 
-- Mass (represented by M)