Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
-$$5 ( 2 x - 31 ) = 10 x - 155$$
A) Conditional; $\{ 0 \}$
B) Contradiction; $\varnothing$
C) Identity; {all real numbers}
D) Identity; $\varnothing$

Question

Quizplus · Accepted Answer

This equation simplifies to an identity. Distributing the 5 on the left gives $10x - 155 = 10x - 155$, which is true for all real numbers x.

Decide Whether the Equation Is an Identity, a Conditional Equation 5(2x−31)=10x−1555 ( 2 x - 31 ) = 10 x - 1555(2x−31)=10x−155

Decide Whether the Equation Is an Identity, a Conditional Equation $5 ( 2 x - 31 ) = 10 x - 155$