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