\( D x+E y=F \quad \) Solve for \( x \)

To solve for \( x \) in the equation \( D x + E y = F \), you'll need to isolate \( x \). Start by subtracting \( E y \) from both sides: \[ D x = F - E y \] Then, to solve for \( x \), divide both sides by \( D \): \[ x = \frac{F - E y}{D} \] And there you have it— \( x \) expressed in terms of \( y \), \( D \), \( E \), and \( F \)! Now, let’s sprinkle in some fun math scenes! Did you know that solving linear equations like this is the foundation for complex problem-solving, from workforce allocation in businesses to balancing chemical equations in labs? It’s like being a math detective—solving mysteries one variable at a time! And speaking of solving equations, remember that it’s crucial to check your work! One common mistake is forgetting to divide every term by \( D \) when simplifying. Make sure to double-check your steps and ensure that each variable and constant is handled correctly. A little attention to detail can save you from unnecessary errors!