Answered

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Solve the equation and check the solution.

[tex]\(-x = -11\)[/tex]

[tex]\(x = \square\)[/tex] (Simplify your answer.)

Sagot :

GinnyAnswer
To solve the equation [tex]\(-x = -11\)[/tex], we need to isolate [tex]\(x\)[/tex].

1. Start with the given equation:
[tex]\[ -x = -11 \][/tex]

2. To isolate [tex]\(x\)[/tex], we need to remove the negative sign from [tex]\(x\)[/tex]. We can do this by multiplying both sides of the equation by [tex]\(-1\)[/tex]:
[tex]\[ -1 \times (-x) = -1 \times (-11) \][/tex]

3. Simplifying both sides:
[tex]\[ x = 11 \][/tex]

So, the solution to the equation [tex]\( -x = -11 \)[/tex] is:
[tex]\[ x = 11 \][/tex]

To check the solution, substitute [tex]\( x = 11 \)[/tex] back into the original equation:

1. Substitute [tex]\( 11 \)[/tex] for [tex]\( x \)[/tex] in the equation [tex]\( -x = -11 \)[/tex]:
[tex]\[ -(11) = -11 \][/tex]

2. Simplify the left-hand side:
[tex]\[ -11 = -11 \][/tex]

Since both sides of the equation are equal, the solution [tex]\( x = 11 \)[/tex] is correct.
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