Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( r = -22 \)
Solution
To solve the equation:
\[
-\frac{6}{11} = \frac{12}{r}
\]
**Step 1: Cross-Multiply**
Multiply both sides of the equation by \( 11r \) to eliminate the denominators:
\[
-6r = 12 \times 11
\]
\[
-6r = 132
\]
**Step 2: Solve for \( r \)**
Divide both sides by \( -6 \):
\[
r = \frac{132}{-6}
\]
\[
r = -22
\]
**Solution:** \( r = -22 \)
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Simplify this solution Bonus Knowledge
To solve for \( r \), we can cross-multiply the two fractions, resulting in \( -6r = 12 \times 11 \). That simplifies to \( -6r = 132 \). Now, dividing both sides by -6 gives us \( r = -\frac{132}{6} \), simplifying to \( r = -22 \). So, the solution to the equation is \( r = -22 \)! Keep in mind that negative values can easily come into play, so don't shy away from them; they often hold the key to many math problem solutions!
