Solve for b in the following equation: A=12(a+b)
(1 point)
Responses
b=2A−a
b is equal to 2 cap A minus A
b=12A−a
b is equal to 1 half cap A minus A
b=12A+a
b is equal to 1 half cap A plus A
b=2A+a
b is equal to 2 cap A plus A
Question 8
b=2A−a
To solve for b in the equation A=12(a+b), we can start by isolating the term with b on one side of the equation.
Let's begin by moving the term 12b to the right side by subtracting it from both sides of the equation:
A - 12b = 12(a + b) - 12b
Simplifying the right side of the equation gives us:
A - 12b = 12a + 12b - 12b
The -12b terms on the right side cancel out, leaving us with:
A - 12b = 12a
Next, we can move the -12b term to the left side by adding 12b to both sides of the equation:
A - 12b + 12b = 12a + 12b
Simplifying the left side of the equation gives us:
A = 12a + 12b
To isolate the term with b, we can subtract 12a from both sides of the equation:
A - 12a = 12a + 12b - 12a
Simplifying the right side of the equation gives us:
A - 12a = 12b
Finally, we can divide both sides of the equation by 12 to solve for b:
b = (A - 12a) / 12
Therefore, the correct answer is b = (A - 12a) / 12.