Decide whether the equation is "conditional," an "identity," or a "contradiction." Give its solution set.
-$2 ( 28 t + 20 ) = 8 ( 2 t + 40 )$
A) Contradiction; $\{ - 9 \}$
B) Conditional; $\{ 7 \}$
C) Conditional; $\{ - 9 \}$
D) Identity; $\{ 7 \}$

Question

Quizplus · Accepted Answer

This equation is conditional because it is true for a specific value of $t$. Simplifying both sides of the equation gives $56t + 40 = 16t + 320$. Subtracting $16t$ from both sides and subtracting $40$ from both sides gives $40t = 280$, which simplifies to $t = 7$. Therefore, the solution set is $\{7\}$, making it a conditional equation.

Decide Whether the Equation Is "Conditional," an "Identity," or a "Contradiction