Questions: Solve the formula for x. A x + B y = C x =

Solve the formula for x. A x + B y = C x =
Transcript text: Solve the formula for x . \[ \begin{array}{l} \quad A x+B y=C \\ x=\square \end{array} \]
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Solution

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Solution Steps

To solve the formula \( Ax + By = C \) for \( x \), we need to isolate \( x \) on one side of the equation. This involves moving the term involving \( y \) to the other side and then dividing by the coefficient \( A \).

Solution Approach
  1. Subtract \( By \) from both sides of the equation to get \( Ax = C - By \).
  2. Divide both sides by \( A \) to solve for \( x \).
Step 1: Subtract \( By \) from both sides

Starting with the equation: \[ Ax + By = C \]

Subtract \( By \) from both sides to isolate the term involving \( x \): \[ Ax = C - By \]

Step 2: Divide both sides by \( A \)

To solve for \( x \), divide both sides of the equation by \( A \): \[ x = \frac{C - By}{A} \]

Final Answer

\(\boxed{x = \frac{C - By}{A}}\)

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