Problema Solution
Give one example of an equation with variables on both sides that is an identity and one equation with variables on both sides that has no solution. Justify your examples by solving the equations.
Answer provided by our tutors
Example of identity equation:
3(x - 5) + 1 = 3x - 14
3x - 15 + 1 = 3x - 14
3x - 15 = 3x - 14
We got the same expressions on both sides thus the equation is identity.
Example of equation with no solutions:
12x - 3 + x = 5x - 4 + 8x
13x - 3 = 13x - 4
- 3 = -4 but -3 <> -4 follows the equation has no solutions.