Solve for b, then find the value of b when a = 3.
4a = 2b − 7
–nine-halves
five-halves
nineteen-halves
17
To solve for b, we need to isolate it on one side of the equation.
4a = 2b - 7
First, distribute the 2 to both terms in the parentheses.
4a = 2b - 7
Next, add 7 to both sides of the equation to move the constant term to the other side.
4a + 7 = 2b
Finally, divide both sides of the equation by 2 to solve for b.
2a + 3.5 = b
To find the value of b when a = 3, substitute 3 for a in the equation.
2(3) + 3.5 = b
6 + 3.5 = b
9.5 = b
Therefore, when a = 3, b = 9.5.
To solve for b in the equation 4a = 2b - 7, we can follow these steps:
Step 1: Add 7 to both sides of the equation:
4a + 7 = 2b
Step 2: Divide both sides of the equation by 2:
(4a + 7)/2 = b
Now, let's find the value of b when a = 3.
Step 3: Substitute a = 3 into the equation:
(4(3) + 7)/2 = b
Step 4: Simplify the equation:
(12 + 7)/2 = b
19/2 = b
Therefore, the value of b when a = 3 is 19/2, which is equivalent to nineteen-halves.