Recognize Identities, Conditional Equations, and Inconsistent Equations
Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
-16x + 15(x + 1)= 31(x + 1)- 16
A)Identity
B)Conditional equation
C)Inconsistent equation

Question

Quizplus · Accepted Answer

An identity is an equation that is true for all values of the variable. To check if this equation is an identity, we can simplify it as follows:

16x + 15(x + 1)= 31(x + 1)- 16
16x + 15x + 15 = 31x + 31 - 16
31x + 15 = 31x + 15

We can see that both sides of the equation are equal, so this equation is an identity.