Questions: Determine if the following equation is an identity equation, a conditional equation, or an inconsistent equation -6 x+6 x-6=2-5 Select the correct answer below: Identity equation Conditional equation Inconsistent equation

Determine if the following equation is an identity equation, a conditional equation, or an inconsistent equation -6 x+6 x-6=2-5 Select the correct answer below: Identity equation Conditional equation Inconsistent equation
Transcript text: Determine if the following equation is an identity equation, a conditional equation, or an inconsistent equation \[ -6 x+6 x-6=2-5 \] Select the correct answer below: Identity equation Conditional equation Inconsistent equation
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Solution

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Solution Steps

Step 1: Simplify the Equation

The given equation is:

\[ -6x + 6x - 6 = 2 - 5 \]

First, simplify the left side of the equation:

\[ -6x + 6x = 0 \]

So, the equation becomes:

\[ 0 - 6 = 2 - 5 \]

Step 2: Simplify the Right Side

Now, simplify the right side of the equation:

\[ 2 - 5 = -3 \]

Thus, the equation simplifies to:

\[ -6 = -3 \]

Step 3: Determine the Type of Equation

The simplified equation \(-6 = -3\) is a false statement. This means there is no value of \(x\) that will satisfy the equation.

Final Answer

The equation is an inconsistent equation.

\(\boxed{\text{Inconsistent equation}}\)

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