Questions: Solve for (b). [ r=2(b+a) b=square ]

Solution Steps

To solve for \( b \) in the equation \( r = 2(b + a) \), we need to isolate \( b \) on one side of the equation. This can be done by first dividing both sides by 2 to get rid of the coefficient in front of the parentheses, and then subtracting \( a \) from both sides to solve for \( b \).

Given the equation:

\[ r = 2(b + a) \]

First, divide both sides by 2 to eliminate the coefficient in front of the parentheses:

\[ \frac{r}{2} = b + a \]

Next, subtract \( a \) from both sides to isolate \( b \):

\[ b = \frac{r}{2} - a \]

Substitute the given values \( r = 10 \) and \( a = 3 \) into the equation:

\[ b = \frac{10}{2} - 3 \]

Calculate the expression:

\[ b = 5 - 3 = 2 \]

Final Answer