Questions: Solve for (b). [ (b+a) m=r b=square ]

Solution Steps

To solve for \( b \), we need to isolate \( b \) in the given equation. Start by subtracting \( a \) from both sides of the equation \( (b+a)m = r \) to get \( b \) alone. Then, divide by \( m \) to solve for \( b \).

We are given the values:

• \( a = 2 \)
• \( m = 3 \)
• \( r = 11 \)

We start with the equation: \[ b = \frac{r - a \cdot m}{m} \] Substituting the given values: \[ b = \frac{11 - 2 \cdot 3}{3} \]

Calculating the numerator: \[ b = \frac{11 - 6}{3} = \frac{5}{3} \]

Now, we compute the final value: \[ b = 1.6667 \quad (\text{rounded to four significant digits}) \]

Final Answer