Q3. - Algebra 2

Question

FIND THE ERROR 

 Crystal and Jamal are solving $C=\frac{5}{9}\left(F-32\right)$ for F.

Crystal

$$\begin{gathered} C=\frac{5}{9}(F-32) \\ C+32=\frac{5}{9}F \\ \frac{9}{5}(C+32)=F \end{gathered}$$

Jamal

$$\begin{gathered} C=\frac{5}{9}(F-32) \\ \frac{9}{5}C=F-32 \\ \frac{9}{5}C+32=F \end{gathered}$$

Step-by-Step Solution

Answer

The calculation of Jamal is the correct calculation.

Step 1- Observe the calculation of Crystal

There is a mistake in first step because 32 is present in parenthesis and it cannot be added on both sides until the bracket is opened. After opening of parenthesis the 32 will change.

Step 2 – Observe the calculation of Jamal

There is no mistake as both sides of the provided equation are divided by $\frac{5}{9}$which helped in opening of brackets and in isolation of F.

Step 3- Make the conclusion

The calculation of crystal contains mistake while the calculation of Jamal is completely correct.