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Solve the following equation for A. Be sure to take into account whether a letter is capitalized or not. g=2mA+nA Answer: A=

Solve the following equation for A A . Be sure to take into account whether a letter is capitalized or not.\newlineg=2mA+nA g=2 m A+n A \newlineAnswer: A= A=

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Write and solve direct variation equationsright chevron icon

Full solution

Q. Solve the following equation for A A . Be sure to take into account whether a letter is capitalized or not.\newlineg=2mA+nA g=2 m A+n A \newlineAnswer: A= A=
  1. Combine Terms: Combine like terms on the right side of the equation.\newlineSince both terms on the right side of the equation involve AA, we can combine them by adding their coefficients.\newlineg=2mA+nAg = 2mA + nA\newlineg=(2m+n)Ag = (2m + n)A
  2. Isolate A: Isolate AA on one side of the equation.\newlineTo solve for AA, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of AA, which is (2m+n)(2m + n).\newlineg(2m+n)=((2m+n)A)(2m+n)\frac{g}{(2m + n)} = \frac{((2m + n)A)}{(2m + n)}
  3. Simplify Equation: Simplify the equation.\newlineAfter dividing both sides by (2m+n)(2m + n), we get:\newlineA=g2m+nA = \frac{g}{2m + n}

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