Question

Solve, then identify whether it is an identity or a contradiction. 4(2-3t)+6t= -6t+8

Answer 1

To solve the given equation, we first apply the distributive property of multiplication and reduce like terms:

$\begin{gathered} 4(2-3t)+6t=-6t+8, \\ 8-12t+6t=-6t+8, \\ 8-6t=-6t+8. \end{gathered}$

Now, we notice that the left and the right side of the equation are equal for any choice of t.

Answer: Identity.