Question

Determine if the following equation is a conditional equation, an identity, or a contradiction.- 5x – 15 = -3(x – 3) + 4AnswerKeyboaO ConditionalO IdentityO Contradiction

Answer 1

Given the equation:

$-5x-15=-3\mleft(x-3\mright)+4$

Solving this equation:

$\begin{gathered} -5x-15=-3x+9+4 \\ -15-13=-3x+5x \\ 2x=-28 \\ \Rightarrow x=-14 \end{gathered}$

Then, the equation is only true for x = -14, and we conclude that it is a conditional equation.