Solve each equation . is the equation an identity ? Explain .
t-27 = - (27-t)

The correct answer is: The given equation is an identity and hence, it has infinitely many solutions. i.e. for any value of t, the equation will be satisfied i.e. LHS will be equal to RHS.

Step-by-step solution:-
LHS = t - 27 ............................................... (Equation i)
RHS = - (27 - t)
                                                                                         ∴ RHS = -(27) - (-t) ….................................... [Distributive property- a (m + n) = am + an]
                                                                                            ∴ RHS = -27 + t
                                                                                             ∴ RHS = t - 27 .............................................. (Equation ii)
From Equation i & ii, we get-
LHS = RHS
Hence, the given equation is not an identity.
Final Answer:-
∴ The given equation is an identity and hence, it has infinitely many solutions. i.e. for any value of t, the equation will be satisfied i.e. LHS will be equal to RHS.