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.
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
.
1 answer
1 answer