Question

solve the equation using the multiplication principle. check your solution.

\\-13 = -x\\

\\(x = \\) (simplify your answer.)

Explanation:

Identify the given equation

We are given the linear equation:

$$ -13 = -x $$

Our goal is to isolate the variable \(x\) to find its value.

Apply the multiplication principle

To isolate \(x\), we multiply both sides of the equation by \(-1\).

$$ -1 \cdot (-13) = -1 \cdot (-x) $$

Simplify both sides

Multiplying two negative numbers yields a positive result.

$$ 13 = x $$

Which can be written as:

$$ x = 13 $$

Check the solution

Substitute \(x = 13\) back into the original equation:

$$ -13 = -(13) $$

$$ -13 = -13 $$

The solution is correct.

Answer:

Solve the equation using the multiplication principle. Check your solution.

\(-13 = -x\)

\(x =\) <blank>13</blank> (Simplify your answer.)