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Solve for b, then find the value of b when a = 3. 4a = 2b − 7 (1 point) Responses - 9/2 , 5/2 , 19/2 , 17

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Answered by GPT 3.5
To solve for b, we start with the equation 4a = 2b - 7.

First, let's isolate the term with the variable b by adding 7 to both sides of the equation:

4a + 7 = 2b.

Next, we want to get b by itself, so we need to divide both sides of the equation by 2:

(4a + 7) / 2 = b.

Now we can simplify the right side of the equation:

2a + 7/2 = b.

Therefore, b is equal to 2a + 7/2.

To find the value of b when a = 3, we substitute a = 3 into the equation for b:

b = 2(3) + 7/2
b = 6 + 7/2
b = 6 + 3.5
b = 9.5.

So, when a = 3, the value of b is 9.5.

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