Recognize Identities, Conditional Equations, and Inconsistent Equations
Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
-$$\frac { - 2 x + 9 } { 5 } + 1 = - \frac { 4 x } { 5 }$$
A)Identity
B)Conditional equation
C)Inconsistent equation

Question

Quizplus · Accepted Answer

To determine whether the equation is an identity, a conditional equation, or an inconsistent equation, we need to simplify the equation and see if we can solve for x.

First, we can simplify the equation:

$$\frac{-2x+9}{5}+1=-\frac{4x}{5}$$
$$\frac{-2x+9+5}{5}=-\frac{4x}{5}$$
$$\frac{-2x+14}{5}=-\frac{4x}{5}$$
$$-2x+14=-4x$$
$$2x=14$$
$$x=7$$

Since we can solve for x, but only get one answer, this is a conditional equation. Therefore, the best choice is B.

Recognize Identities, Conditional Equations, and Inconsistent Equations Determine Whether the Equation

Recognize Identities, Conditional Equations, and Inconsistent Equations
Determine Whether the Equation