Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
-$$- 0.9 ( x + 9 ) + 0.1 ( x + 9 ) = - 0.8 x - 7.2$$
A) Conditional; $\{ - 0.8 \}$
B) Identity; {all real numbers $\}$
C) Contradiction; $\varnothing$
D) Conditional; $\{ - 9 \}$

Question

Quizplus · Accepted Answer

The equation simplifies to $0 = 0$, which is true for all real numbers.

Decide Whether the Equation Is an Identity, a Conditional Equation −0.9(x+9)+0.1(x+9)=−0.8x−7.2- 0.9 ( x + 9 ) + 0.1 ( x + 9 ) = - 0.8 x - 7.2−0.9(x+9)+0.1(x+9)=−0.8x−7.2

Decide Whether the Equation Is an Identity, a Conditional Equation $- 0.9 ( x + 9 ) + 0.1 ( x + 9 ) = - 0.8 x - 7.2$