Question
Solve the equation using the multiplication principle. Check your solution. \( -26=-\mathrm{x} \) \( x=\square \) (Simplify your answer.)
Ask by Horton Rojas. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = 26 \)
Solution
We start with the equation:
–26 = –x
Step 1: Use the multiplication principle by multiplying both sides by –1 to eliminate the negatives.
(–1)(–26) = (–1)(–x)
26 = x
Thus, x = 26.
Step 2: Check the solution by substituting x = 26 back into the original equation:
–26 = –(26)
–26 = –26
Since both sides are equal, the solution x = 26 is correct.
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Simplify this solution The Deep Dive
To solve the equation \( -26 = -\mathrm{x} \), you can apply the multiplication principle by multiplying both sides of the equation by -1. This gives you: \[ 26 = x \] So, the solution is \( x = 26 \). To check your solution, substitute \( 26 \) back into the original equation: \[ -26 = -26 \] Since both sides are equal, your solution \( x = 26 \) is indeed correct!
