Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
-$$10 x + 91 = 2 ( 5 x + 41 )$$
A) Conditional; $\{ 5 \}$
B) Identity; {all real numbers}
C) Contradiction; $\varnothing$
D) Conditional; $\{ - 5 \}$

Question

Quizplus · Accepted Answer

The equation simplifies to $10x + 91 = 10x + 82$, which leads to $91 = 82$, a false statement. Thus, it is a contradiction with no solution.

Decide Whether the Equation Is an Identity, a Conditional Equation 10x+91=2(5x+41)10 x + 91 = 2 ( 5 x + 41 )10x+91=2(5x+41)

Decide Whether the Equation Is an Identity, a Conditional Equation $10 x + 91 = 2 ( 5 x + 41 )$