A)
Solve for b, then find the value of b when a = 3.
4a = 2b − 7
(1 point)
-9/2
5/2
19/2
17
To solve for b, we need to isolate b on one side of the equation.
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 right side:
2a + 7/2 = b
Now we can 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, the value of b when a = 3 is 19/2.
To solve for b, we need to isolate b on one side of the equation.
Given equation: 4a = 2b - 7
Step 1: Add 7 to both sides of the equation to isolate 2b.
4a + 7 = 2b
Step 2: Divide both sides of the equation by 2 to solve for b.
2b = 4a + 7
Step 3: Divide both sides of the equation by 2 again to isolate b.
b = (4a + 7) / 2
Now that we have solved for b generally, we can substitute a = 3 into the equation to find the value of b when a = 3.
Substituting a = 3:
b = (4(3) + 7) / 2
b = (12 + 7) / 2
b = 19 / 2
Therefore, the value of b when a = 3 is 19/2.
To solve for b, we can rearrange the equation and isolate b.
Given the equation:
4a = 2b - 7
Step 1: Start by adding 7 to both sides of the equation to cancel out the subtraction:
4a + 7 = 2b
Step 2: Divide both sides of the equation by 2 to isolate b:
(4a + 7) / 2 = b
Simplifying the expression on the left side:
2a + 7/2 = b
Now we have the equation in terms of b. To find the value of b when a = 3, substitute a = 3 into the equation:
b = 2(3) + 7/2
Simplifying the expression:
b = 6 + 7/2
To add the two terms, we need to have the same denominator:
b = 6 + (7/2)(2/2)
b = 6 + 14/2
b = 6 + 7
b = 13
Therefore, the value of b when a = 3 is 13.