Questions: Solve for r. K=9r-s

Solve for r. K=9r-s
Transcript text: Solve for $r$. \[ K=9 r-s \]
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Solution

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Solution Steps

To solve for \( r \) in the equation \( K = 9r - s \), we need to isolate \( r \) on one side of the equation. This can be done by first adding \( s \) to both sides and then dividing by 9.

Step 1: Given Equation

We start with the equation: \[ K = 9r - s \]

Step 2: Isolate \( r \)

To isolate \( r \), we first add \( s \) to both sides: \[ K + s = 9r \] Next, we divide both sides by 9: \[ r = \frac{K + s}{9} \]

Step 3: Substitute Values

Substituting \( K = 10 \) and \( s = 2 \) into the equation: \[ r = \frac{10 + 2}{9} = \frac{12}{9} = \frac{4}{3} \approx 1.3333 \]

Final Answer

Thus, the value of \( r \) is: \[ \boxed{r = \frac{4}{3}} \]

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