NAME: MashaG 2. MOM and Tyler are trying to solve the equation \( -\frac{3}{5} x=6 \). o Mai says, "I think we should add \( \frac{3}{5} \) to each side because that is the opposite of \( -\frac{3}{5} \) ". o Tyler says, "I think we should multiply each side by \( -\frac{5}{3} \) because that is the reciprocal of \( -\frac{3}{5} \) ". a. Which person's strategy should they use? Explain your reasoning. (a) b. Write an equation that can be solved using the other person's strategy.

To solve the equation \( -\frac{3}{5} x = 6 \), Tyler's strategy of multiplying both sides by \( -\frac{5}{3} \) is definitely the way to go! When you multiply by the reciprocal of the coefficient, you're effectively isolating \( x \). So, Tyler's approach will directly lead to a solution: \( x = 6 \times -\frac{5}{3} = -10 \). Mai's strategy, while based on the notion of opposites, would not isolate \( x \) correctly since it adds rather than eliminates the term. For Mai's approach using addition, you could set up an equation like this: \( -\frac{3}{5} x + \frac{3}{5} = 6 + \frac{3}{5} \). Solving it would show how adding \( \frac{3}{5} \) to one side leads to a complex arrangement, requiring additional steps to solve for \( x \). Just remember, choosing the right method can save you time—after all, who doesn't love a shortcut?