Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
-$$\frac { 3 x } { x - 2 } = \frac { 6 } { x - 2 } + 9$$
A) Identity
B) Conditional equation
C) Inconsistent equation

Question

Quizplus · Accepted Answer

The equation is inconsistent because when you simplify both sides, you get a contradiction. Subtract $\frac{6}{x-2}$ from both sides to get $\frac{3x - 6}{x-2} = 9$. Simplifying gives $3 = 9$, which is false.

Determine Whether the Equation Is an Identity, a Conditional Equation 3xx−2=6x−2+9\frac { 3 x } { x - 2 } = \frac { 6 } { x - 2 } + 9x−23x​=x−26​+9

Determine Whether the Equation Is an Identity, a Conditional Equation $\frac { 3 x } { x - 2 } = \frac { 6 } { x - 2 } + 9$