Hodges Carrillo
03/12/2024 · Senior High School
Solve for \( a \) and simplify your answer. \[ -\frac{5}{6} a=1 \]
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve for \( a \) in the equation
\[
-\frac{5}{6} a = 1,
\]
we can isolate \( a \) by multiplying both sides of the equation by the reciprocal of \(-\frac{5}{6}\). The reciprocal of \(-\frac{5}{6}\) is \(-\frac{6}{5}\). Thus, we multiply both sides by \(-\frac{6}{5}\):
\[
a = 1 \cdot -\frac{6}{5}.
\]
Calculating the right side gives:
\[
a = -\frac{6}{5}.
\]
Therefore, the solution for \( a \) is
\[
\boxed{-\frac{6}{5}}.
\]
Quick Answer
\( a = -\frac{6}{5} \).
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