Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
-$$0.3 ( x - 8 ) - 0.5 ( x - 8 ) = - 0.2 x + 1.6$$
A) Identity; {all real numbers}
B) Conditional; $\{ 0.8 \}$
C) Conditional; $\{ - 8 \}$
D) Contradiction; $\varnothing$

Question

Quizplus · Accepted Answer

The equation simplifies to an identity because both sides reduce to the same expression when simplified, indicating that the equation holds true for all real numbers.

Decide Whether the Equation Is an Identity, a Conditional Equation 0.3(x−8)−0.5(x−8)=−0.2x+1.60.3 ( x - 8 ) - 0.5 ( x - 8 ) = - 0.2 x + 1.60.3(x−8)−0.5(x−8)=−0.2x+1.6

Decide Whether the Equation Is an Identity, a Conditional Equation $0.3 ( x - 8 ) - 0.5 ( x - 8 ) = - 0.2 x + 1.6$