Questions: Solve using the addition principle. Don't forget to perform a check. -17 = x + 9

Transcript text: Solve using the addition principle. Don't forget to perform a check. \[ -17=x+9 \]

Solution

Solution Steps

To solve the equation \(-17 = x + 9\) using the addition principle, we need to isolate \(x\) on one side of the equation. This can be done by subtracting 9 from both sides of the equation. After finding the value of \(x\), we perform a check by substituting the value back into the original equation to ensure both sides are equal.

Step 1: Isolate \(x\) Using the Addition Principle

To solve the equation \(-17 = x + 9\), we need to isolate \(x\). We do this by subtracting 9 from both sides of the equation:

\[ -17 - 9 = x \]

This simplifies to:

\[ x = -26 \]

Step 2: Perform a Check

To verify the solution, substitute \(x = -26\) back into the original equation:

\[ -17 = (-26) + 9 \]

Simplifying the right side:

\[ -17 = -17 \]

Since both sides of the equation are equal, the solution is verified.