2
(
x
+
a
)
=
4
b
A. Solve the given equation for the variable
a
. In your final answer, include all of your work.
B. In two or more complete sentences, explain the specific process that you followed in solving for
a
.
A. First, distribute the 2 to the terms inside the parentheses:
2x + 2a = 4b
Next, isolate the variable a by subtracting 2x from both sides:
2a = 4b - 2x
Finally, divide both sides by 2:
a = 2b - x
Therefore, the solution for the variable a is a = 2b - x.
B. To solve for a, I used the basic algebraic operations of distributing, isolating the variable, and then performing the inverse operation. By distributing the 2 to the terms inside the parentheses, I was able to simplify the left side of the equation. Then, by isolating the variable a on one side of the equation, I made it easier to solve for a. Finally, by dividing both sides by 2, I was able to undo the multiplication of 2 and solve for a.
A. To solve the given equation for the variable a, we need to isolate a on one side of the equation. Here's the step-by-step process:
1. Start by distributing the 2 to both terms inside the parentheses:
2x + 2a = 4b
2. Next, move the term 2x to the other side of the equation by subtracting 2x from both sides:
2a = 4b - 2x
3. Finally, divide both sides of the equation by 2 to solve for a:
a = (4b - 2x) / 2
So the final answer is a = (4b - 2x) / 2.
B. To solve for a, I followed a few specific steps. First, I distributed 2 to both terms inside the parentheses. Then, I moved the term with x to the other side by subtracting 2x from both sides of the equation. Finally, I divided both sides by 2 to isolate a. These steps allowed me to solve for a and find its value in terms of the given variables x and b.
A. To solve the given equation for the variable 'a', we can follow these steps:
1. Start by distributing the 2 to both terms inside the parentheses:
2(x + a) = 4b
2x + 2a = 4b
2a = 4b - 2x
2a = 2(2b - x)
2a = 2(2b - x)
2. Divide both sides of the equation by 2 to isolate 'a':
2a/2 = (2(2b - x))/2
a = (2b - x)
So, the equation is solved for the variable 'a' as a = (2b - x).
B. The process followed to solve for 'a' involved distributing the 2 to both terms inside the parentheses, combining like terms, and isolating 'a' on one side of the equation by dividing both sides by 2. The final result for 'a' is given as a = (2b - x).