Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
-$$24 x + 15 = 3 ( 3 x - 35 )$$
A) Identity; {all real numbers}
B) Conditional; $\{ - 8 \}$
C) Contradiction; $\varnothing$
D) Conditional; $\{ 6 \}$

Question

Quizplus · Accepted Answer

Solving the equation $24x + 15 = 3(3x - 35)$ simplifies to $24x + 15 = 9x - 105$. Rearranging gives $15x = -120$, so $x = -8$. This makes it a conditional equation with a single solution.

Decide Whether the Equation Is an Identity, a Conditional Equation 24x+15=3(3x−35)24 x + 15 = 3 ( 3 x - 35 )24x+15=3(3x−35)

Decide Whether the Equation Is an Identity, a Conditional Equation $24 x + 15 = 3 ( 3 x - 35 )$