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

Question

asked Oct 15, 2024 146k views

2 Answers

EliadL · Answer 1 · 2024-10-21T05:43:25+0000

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.