Solve for b, then find the value of b when a = 3.
4a = 2b − 7
(1 point)
Responses
–nine-halves
five-halves
nineteen-halves
17
To solve for b, we need to isolate b on one side of the equation.
4a = 2b - 7
Adding 7 to both sides:
4a + 7 = 2b
Now, divide both sides by 2:
(4a + 7) / 2 = b
Simplifying the expression:
2a + 7/2 = b
Now, substitute a = 3 into the equation to find the value of b:
2(3) + 7/2 = b
6 + 7/2 = b
12/2 + 7/2 = b
19/2 = b
Therefore, when a = 3, the value of b is nineteen-halves.
To solve for b, we can rearrange the equation and isolate b:
4a = 2b - 7
Add 7 to both sides of the equation:
4a + 7 = 2b
Divide both sides of the equation by 2:
(4a + 7) / 2 = b
Simplifying the expression:
2a + 7/2 = b
Now, substitute a = 3 into the equation to find the value of b:
2(3) + 7/2 = b
6 + 7/2 = b
To find the common denominator, multiply 2 with 2:
6 + 7/2 = b
12/2 + 7/2 = b
(12 + 7) / 2 = b
19/2 = b
Therefore, when a = 3, the value of b is nineteen-halves or 19/2.