Question

Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution:

$6+14(k-8)=95$

Short answer

The equation is conditional and solution is$k=\frac{201}{14}$.

Step-by-step solution

Step 1. Given information

The equation is $6+14(k-8)=95$

Solve the equation to classify.

Step 2. Calculation

Simplify the equation by distribution

$$\begin{gathered} 6+14(k-8)=95 \\ 6+14k-112=95 \end{gathered}$$

Combine like terms,

$$\begin{gathered} 14k=95+112-6 \\ 14k=201 \end{gathered}$$

Divide by 14 on both sides

$k=\frac{201}{14}$

Step 3. Conclusion

$k=\frac{201}{14}$is solution for the equation. So the equation is conditional.