Answer:
[tex]b = 3A - a[/tex] (if A and a are two different variables).
[tex]b = 2a[/tex] (If the A and a denote the same variable.
Step-by-step explanation:
[tex]A = \frac{(a + b)}{3}[/tex]
Isolate the variable, b. Note the equal sign, what you do to the one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
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First, multiply 3 to both sides of the equation:
[tex]A (*3) = \frac{(a + b)}{3} (* 3)\\A * 3 = (a + b)[/tex]
Next, subtract a from both sides of the equation:
[tex]A * 3 = a + b\\3A = a + b\\3A (-a) = a (-a) + b\\b = 3A - a[/tex]
[tex]b = 3A - a[/tex] is your answer.
IF, however, you meant to put both lower case variable a (or vice versa), then you can further simplify:
[tex]b = 3a - a\\b = 2a[/tex]
[tex]b = 2a[/tex] is your answer if the a are supposed to be the same variable.
Learn more about isolating a variable, here:
https://brainly.com/question/1730064
