Question

Solve for b, then find the value of b when a = 3.

4a = 2b − 7 *1 point*

A.-9/2
B. 5/2
C. 19/2
D. 17

Answer 1

b = 5/2

Explanation:

Answer 2

Answer: b = 19/2

Explanation:

First, we'll solve for b by rearranging the equation so that b is on one side.

Given equation:

`\diamond\quad\sf{4a=2b-7}`

Solve.

`\sf{2b-7=4a}`

`\sf{2b=4a+7}`

`\sf{b=\cfrac{4a+7}{2}}`

Now, plug in 3 for a:

`\sf{b=\cfrac{4(3)+7}{2}}`

`\sf{b=\cfrac{12+7}{2}}`

`\sf{b=\cfrac{19}{2}}`

Therefore, b = 19/2.