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Translate the sentence into an algebraic equation, but do not simplify or solve.

Twelve less than [tex]\( n \)[/tex] is [tex]\(-10\)[/tex].

[tex]\[
n - 12 = -10
\][/tex]

Solve the translated sentence.

[tex]\[
n = \square
\][/tex]

Sagot :

GinnyAnsweridn
Sure! Let's break down the steps:

### Step 1: Translate the sentence into an algebraic equation

The sentence is "Twelve less than [tex]\( n \)[/tex] is -10."

"Twelve less than [tex]\( n \)[/tex]" means [tex]\( n - 12 \)[/tex].

So, the equation becomes:
[tex]\[ n - 12 = -10 \][/tex]

### Step 2: Solve the translated sentence

We have the equation:
[tex]\[ n - 12 = -10 \][/tex]

To solve for [tex]\( n \)[/tex], we need to isolate [tex]\( n \)[/tex] on one side of the equation. We can do this by adding 12 to both sides of the equation:

[tex]\[ n - 12 + 12 = -10 + 12 \][/tex]

Simplifying the equation:

[tex]\[ n = 2 \][/tex]

So, the value of [tex]\( n \)[/tex] is:
[tex]\[ n = 2 \][/tex]
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