Solve for b, then find the value of b when a = 3.
4a = 2b − 7
(1 point)
To solve for b, we need to isolate b on one side of the equation.
Starting with the equation 4a = 2b - 7, we can start by adding 7 to both sides to get rid of the -7 on the right side:
4a + 7 = 2b
Next, we can divide both sides by 2 to isolate b:
(4a + 7)/2 = b
Simplifying the right side further:
2a + 7/2 = b
Now, plugging in a = 3:
2(3) + 7/2 = b
6 + 7/2 = b
To simplify further, we need to find a common denominator for 6 and 7/2. The common denominator is 2:
12/2 + 7/2 = b
Now, combining the fractions:
19/2 = b
Therefore, when a = 3, b is equal to 19/2.
To solve for b, we can rearrange the equation 4a = 2b - 7 to isolate b on one side.
Start by adding 7 to both sides of the equation:
4a + 7 = 2b
Next, divide both sides of the equation by 2 to solve for b:
(4a + 7) / 2 = b
Simplifying further, we have:
2a + 7/2 = b
Now, substitute a = 3 into the equation to find the value of b when a = 3:
2(3) + 7/2 = b
Multiplying 2 and 3 gives us:
6 + 7/2 = b
To add 6 and 7/2, we need to find a common denominator:
6 + 7/2 = 6(2/2) + 7/2 = 12/2 + 7/2 = 19/2
Therefore, the value of b when a = 3 is 19/2 or 9.5.
To solve for b, we need to isolate it on one side of the equation.
Given the equation 4a = 2b - 7, we can start by getting rid of the constant term (-7) on the right side of the equation by adding 7 to both sides. This gives us:
4a + 7 = 2b
Next, to isolate b, we can divide both sides of the equation by 2 to get:
(4a + 7) / 2 = b
Now, let's substitute a = 3 into the equation to find the value of b.
We have:
b = (4(3) + 7) / 2
= (12 + 7) / 2
= 19 / 2
Therefore, when a = 3, the value of b is 19/2.