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

Solve for (b).

[ r=2(b+a)  b=square ]
Transcript text: Solve for $b$. \[ \begin{array}{l} r=2(b+a) \\ b=\square \end{array} \] Explanation Check
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Solution

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Solution Steps

To solve for b b in the equation r=2(b+a) r = 2(b + a) , we need to isolate b 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 a from both sides to solve for b b .

Step 1: Isolate the Expression for b b

Given the equation:

r=2(b+a) r = 2(b + a)

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

r2=b+a \frac{r}{2} = b + a

Step 2: Solve for b b

Next, subtract a a from both sides to isolate b b :

b=r2a b = \frac{r}{2} - a

Step 3: Substitute the Given Values

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

b=1023 b = \frac{10}{2} - 3

Step 4: Simplify the Expression

Calculate the expression:

b=53=2 b = 5 - 3 = 2

Final Answer

The value of b b is 2\boxed{2}.

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