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Solve the following equation for A. Be sure to take into account whether a letter is capitalized or not. b=dA+fA Answer: A=

Solve the following equation for A A . Be sure to take into account whether a letter is capitalized or not.\newlineb=dA+fA b=d A+f A \newlineAnswer: A= A=

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Full solution

Q. Solve the following equation for A A . Be sure to take into account whether a letter is capitalized or not.\newlineb=dA+fA b=d A+f A \newlineAnswer: A= A=
  1. Combine Like Terms: First, we need to combine like terms on the right side of the equation, which are dAdA and fAfA. Both terms have AA in common, so we can factor AA out.\newlineCalculation: A(d+f)=bA(d + f) = b
  2. Solve for A: Next, we solve for AA by dividing both sides of the equation by the sum of dd and ff.\newlineCalculation: A=b(d+f)A = \frac{b}{(d + f)}
  3. Check for Nonzero Value: We check to ensure that d+fd + f is not equal to zero, as division by zero is undefined. Assuming d+fd + f is not zero, we have successfully isolated AA.

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